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#1 2016-03-07 01:37:43

mathaholic
Member
From: Earth
Registered: 2012-11-29
Posts: 3,251

Factorial!

Well, this kind of sounds like a new thing to you, but factorial. If you know it, then good, because it involves a lot regarding factorials (yeah, permutations and combinations; my specialty) If you don't, I'm sorry but you'll have to Google it so that you can get used to it wink

Anyway, let's start the ball rolling, shall we?

(1) Speaking of balls, imagine there are 4 red balls and 6 orange balls. How many ways are there to pick exactly one of each kind?
(2) In an election, there are five presidential candidates, two of which are female. For vice president, there are six candidates, one of which is female. How many ways are there such that females will be president and vice president?
(3) In the game 4 Pics 1 Word, there are twelve letters to choose from. Say we have the letters J, A, S, O, N, A, N, D, I, Y, Y, A and we want to form a five-letter word. How many such ways are possible?
(4) To make a loveteam, there should be names of people, right? Let's say we have the names JULGAT and JASMINE. If we can get two letters from each of the names, how many such ways are there?
(5) In a lottery, there are 6 numbers to be chosen out of 62 numbers. Julgat bet five tickets.
A - 01 07 12 19 24 31
B - 06 21 22 32 41 56
C - 01 08 21 27 36 53
D - 04 08 17 24 37 52
E - 12 17 30 39 49 61

What is the chance of winning the lottery ticket C?


Mathaholic | 10th most active poster | Maker of the 350,000th post | Person | rrr's classmate
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#2 2016-03-07 05:22:03

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Factorial!

Hi;



In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#3 2016-03-07 20:13:40

mathaholic
Member
From: Earth
Registered: 2012-11-29
Posts: 3,251

Re: Factorial!

(3) In the actual game you have to find actual words. For this one, I would accept both words and non-words. wink


Mathaholic | 10th most active poster | Maker of the 350,000th post | Person | rrr's classmate
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#4 2016-03-08 05:13:30

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Factorial!

Hi;

For the rest let us wait a bit and see if someone else can answer.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#5 2016-04-26 21:07:03

thickhead
Member
Registered: 2016-04-16
Posts: 1,086

Re: Factorial!




{1}Vasudhaiva Kutumakam.{The whole Universe is a family.}
(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha
{Gods rejoice at those places where ladies are respected.}

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