C(m,n) = m! / [(m-n)! n!] for nonnegative integers m and n, m ≥ n. If C(5,3) = C(5,x) and x ≠3, what is the value of x?
A. 0
B. 1
C. 2
D. 4
E. 5
A. 0
B. 1
C. 2
D. 4
E. 5
If C(m, n) = m! / [(m - n)! n!], then C(m, m - n) = m! / [(m - m + n)! (m - n)!] = m! / [(m - n)! n!] = C(m, n).mgmt_gmat wrote:C(m,n) = m! / [(m-n)! n!] for nonnegative integers m and n, m ≥ n. If C(5,3) = C(5,x) and x ≠3, what is the value of x?
A. 0
B. 1
C. 2
D. 4
E. 5
Hence, C(m, n) = C(m, m - n) or C(5, 3) = C(5, 5 - 3) = C(5, 2) = C(5, x) [given] or x = [spoiler]2[/spoiler].
[spoiler]C[/spoiler]
