Problem: When simplified the product (1−31​)(1−41​)(1−51​)…(1−n1​) becomes:
Answer Choices:
A. 1/n
B. 2/n
C. n2(n−1)​
D. n(n+1)2​
E. n(n+1)3​
Solution:
(1−31​)(1−41​)(1−51​)…(1−n1​)
=32​⋅43​⋅84​⋅⋯n−1n−2​nn−1​=n2​