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

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

Quizplus · Accepted Answer

The formula for combinations is:
$${n \choose k}=\frac{n!}{k!(n-k)!},$$
where ${n \choose k}$ represents the number of ways to choose k elements from a set of n elements.
In this case, we have n=10 and k=10, which gives:
$${10 \choose 10}=\frac{10!}{10!(10-10)!}=\frac{10!}{10!0!}=1.$$
Therefore, the answer is B) 1.

Calculate 10C10{ } _ { 10 } C _ { 10 } 10​C10​

Calculate ${ } _ { 10 } C _ { 10 }$