College Math CLEP Prep Practice Exam

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What is the combination of nCr when n=7 and r=4?

  1. 12

  2. 21

  3. 35

  4. 42

The correct answer is: 42

Explanation The correct combination of nCr for this question can be found by using the formula nCr = n!/(r!(n-r)!). In this case, n=7 and r=4, so the equation becomes 7!/(4!(7-4)!)=35. Therefore, the correct answer is 35, option C. Option A and B are incorrect because they do not take into account the factorial calculations. Option D is incorrect because it does not take into account the (n-r)! in the denominator. It is important to use the proper formula and values to correctly calculate nCr.

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