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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 31,148

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#4698. In how many different ways can the letters of the word READING be arranged in such a way that the vowels always come together?

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 31,148

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#4699. In how many different ways can the letters of the word PERMUTATION be arranged such that the vowels always come together?

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 31,148

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#4700. In how many different ways can the letters of the word COSMOPOLIS be arranged such that the vowels always come together?

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 31,148

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#4701. In how many ways can a committee, consisting of 5 men and 6 women be formed from 7 men and 8 women?

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 31,148

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#4702. A box contains 4 black balls and 5 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 31,148

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#4703. In how many different ways can the letters of the word RETAIL be arranged in such a way that the vowels occupy only the odd positions?

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 31,148

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#4704. In how many different ways can the letters of the word PRACTICAL be arranged so that the vowels always come together?

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 31,148

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#4705. How many 3 letter words with or without meaning, can be formed out of the letters of the word CONSUMPTIVELY, if repetition of letters is not allowed?

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 31,148

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#4706. The letters of the word LABEL are permuted in all possible ways and the words thus formed are arranged as in a dictionary. What is the rank of the word LABEL?

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 31,148

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#4707. A question paper has two parts P and Q, each containing 10 questions. If a student needs to choose 7 from part P and 5 from part Q, in how many ways can it be done?

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 31,148

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#4708. If the letters of the word JITEN are permuted in all possible ways and the words thus obtained are arranged alphabetically, what is the rank of JITEN?

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 31,148

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#4709. After a get-together, evey person present shakes hand of every other person. If there were 120 handshakes in all, how many persons were present in the party?

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 31,148

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#4710. A five-digit number divisible by 3 is to be formed using numerical 0, 1, 2, 3, 4, and 5 without repetition. Find the number of ways this can be done.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 31,148

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#4711. In how many ways can the letters of the word ABACUS be arranged such that the vowels always appear together?

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 31,148

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#4712. Let there be 10 boys and 6 girls in a class and we have to select a group of 6 in which three particular boys never some and two particular girls are never selected.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 31,148

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#4713. In how many ways can 9 people be seated at a round table?

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 31,148

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#4714. In a shelf, there are 4 books on Economics, 3 books on Management, and 4 books on Statistics. In how many different ways can the books be arranged so that the books on Economics are kept together?

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 31,148

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#4715. In how many different ways can the letters of the word SOFTWARE be arranged in such a way that the vowels always come together?

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 31,148

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#4716. In how many different ways can the letters of the word ARMOUR be arranged?

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 31,148

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#4717. In how many different ways can the letters of the word CANDIDATE be arranged in such a way that the vowels always come together?

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 31,148

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#4718. In how many different ways can the letters of the word 'THERAPY' be arranged so that the vowels never come together?

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 31,148

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#4719. In how many ways can a group of 5 men and 2 women be formed out of a total of 7 men and 3 women?

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 31,148

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#4720. How many numbers are there between 100 and 300 that either begin with or end with 2?

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**math9maniac****Member**- From: Tema
- Registered: 2015-03-30
- Posts: 443

for 4720, the answer is 130 numbers

Only a friend tells you your face is dirty.

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 31,148

Hi,

Good attempt, math9maniac!

#4721. Two brothers X and Y appeared for an examination. The probability of selection of X is 1/3 and that of Y is 2/5. Find the probability that both of them are selected.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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