SOLUTION: What is 35C2=

Question 1130818: What is 35C2=
Found 4 solutions by MathLover1, MathTherapy, ikleyn, greenestamps:
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
What is 35C2=

Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
It is about combinations.

On combinations, see the lessons
    - Introduction to Combinations
    - PROOF of the formula on the number of Combinations
    - Problems on Combinations
in this site.

Also, you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Combinatorics: Combinations and permutations".

Save the link to this textbook together with its description

Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson

into your archive and use when it is needed.

Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!

You have received two good responses showing the calculation based on the definition of nCr.

If you have to do a lot of calculations of nCr numbers, you will be wasting a lot of time if you go back to the definition of nCr every time.

The expression to evaluate nCr is a fraction with a product of r numbers in both numerator and denominator; the numbers in the numerator start with n and count down; the numbers in the denominator start with r and count down.

A couple of examples....

7C3 =

10C4 =

So for your example,

35C2 =
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