A magazine reader wants to subscribe to three magazines from a choice of eight magazines. The number of ways this can be done is $\frac{8 \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1}{3 \cdot 2 \cdot 1}$

Question

Quizplus · Accepted Answer

The correct formula for choosing 3 magazines out of 8 without regard to order is $\frac{8 \cdot 7 \cdot 6}{3 \cdot 2 \cdot 1}$, which simplifies to $\binom{8}{3}$, not the factorial of 8 divided by the factorial of 3.

A Magazine Reader Wants to Subscribe to Three Magazines from a Choice