Calculate ${ } _ { 10 } C _ { 0 }$
A) 0
B) 1
C) 10
D) 15

Name: Calculate ${ } _ { 10 } C _ { 0 }$ A) 0 B) 1 C) 10 D) 15
Brand: Quizplus
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Question

Quizplus · Accepted Answer

The formula for combinations is:

$_nC_r=\frac{n!}{r!(n-r)!}$

When r is 0, the denominator becomes 0! * n!, which is equal to 1. Therefore, the entire equation simplifies to:

$_nC_0=\frac{n!}{0!(n-0)!}=\frac{n!}{n!}=1$

Thus, the answer is 1, which corresponds to choice B.

Calculate 10C0{ } _ { 10 } C _ { 0 }10​C0​