Evaluate the factorial expression.
-$\frac { n ! } { ( n - r ) ! }$, where $n = 46$ and $r = 10$
A) $1.479 \times 10 ^ { 16 }$
B) $1.479 \times 10 ^ { 15 }$
C) $1.479 \times 10 ^ { 17 }$
D) $2.958 \times 10 ^ { 16 }$

Question

Quizplus · Accepted Answer

The expression $\frac { n ! } { ( n - r ) ! }$ simplifies to $n(n-1)(n-2)...(n-r+1)$. For $n = 46$ and $r = 10$, it becomes $46 \times 45 \times 44 \times ... \times 37$. Calculating this product or using a calculator/computer, the result is approximately $1.479 \times 10^{16}$, which matches option A.

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Evaluate the Factorial Expression $\frac { n ! } { ( n - r ) ! }$