Question Detail

MTH 101 MTH 101 Past Questions Objective Question

Question

Suppose that n is an integer and j ≤ n. Then C(n, j) is equal to
Options
A C(n², j)
B C(n+1, j)
C C(n, j-1)
D C(n, j)
Correct Answer
Correct Answer

Option D is the correct answer.

Detailed Explanation

By definition, C(n, j) = n! / (j!(n − j)!). None of the transformations given change it except itself.

Hint

Recall the definition of combinations.

Question Info