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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,256

Hi;

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,537

Hi bobbym,

The solutions #4957 and #4958 are correct. Superlative!

#4959. If

and , then what is the value of?#4960. If (a - b) is 6 more than (c + d) and (a + b) is 3 less than (c - d), then what is (a - c)?

Character is who you are when no one is looking.

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**Maburo****Member**- From: Alberta, Canada
- Registered: 2013-01-08
- Posts: 286

4959.

4960.

"Pure mathematics is, in its way, the poetry of logical ideas."

-Albert Einstein

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,256

Hi;

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

**Online**

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,537

Hi Maburo and bobbym,

The solutions #4959 and #4960 are correct. Remarkable, Maburo and bobbym!

#4961. If

, then what is the value of ?#4962. If

, what is the value of P?Character is who you are when no one is looking.

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**Maburo****Member**- From: Alberta, Canada
- Registered: 2013-01-08
- Posts: 286

"Pure mathematics is, in its way, the poetry of logical ideas."

-Albert Einstein

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,256

Hi;

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

**Online**

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,537

Hi Maburo and bobbym,

The solutions #4961 nd #4962 are correct. Marvelous, Maburo and bobbym!

#4963.

#4964.

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,256

Hi;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,537

Hi bobbym,

The solutions #4#4965963 and #4964 are correct. Marvelous!

#4965. Find the vlue of x if

.#4966.

.Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,256

Hi;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**

**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,544

Hi ganesh

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,537

Hi bobbym and anonimnystefy,

The solution #4965 is correct, bobbym! Excellent!

The solutions #4965 and #4966 are correct. Stupendous, anonimnystefy!

#4967. If

,and , then what is the value of

?

#4968. If a, b, c are integers; a² + b² = 45 and b² + c² = 40, then what are the values of a, b, and c respectively?

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,256

Hi;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**

**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,544

Hi ganesh

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,537

Hi bobbym and anonimnystefy,

The solution is perfect, anonimnystefy (#4968)! The solution #4968 is perfect, but for a minor error, bobbym!

#4969.

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,256

Hi;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,537

Hi bobbym,

The solution #4969 is correct. Splendid!

#4970.

#4971.

.Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,256

Hi;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,537

Hi bobbym,

The solution #4970 and #4971 are correct. Neat work!

#4972.

(This problem takes 5 to 10 minutes to solve)

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,256

Hi;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,537

Hi bobbym,

The solution #4972 is correct Fabulous!

#4973

#4974. Find the value of x if

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,256

Hi;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**

**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,544

Hi ganesh

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,537

Hi bobbym and anonimnystefy,

The solutions #4973 and #4974 are correct. Marvelous. bobbym and anonimnystefy!

#4975. Find the cube root of 2744.

#4976. By what least number 4320 be multiplied to obtain a number which is a perfect cube?

Character is who you are when no one is looking.

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