Evaluate ${ } _ { n } C _ { r }$ using the formula from this section. ${ } _ { 25 } C _ { 4 }$
A)177,100
B)303,600
C)480,700
D)12,650
E)53,130

Question

Evaluate ${ } _ { n } C _ { r }$ using the formula from this section.   ${ } _ { 25 } C _ { 4 }$  
A)177,100
B)303,600
C)480,700
D)12,650
E)53,130

Quizplus · Accepted Answer

${ } _ { 25 } C _ { 4 }$ is calculated using the combination formula $\frac{n!}{r!(n-r)!}$. Plugging in the values, we get $\frac{25!}{4!(25-4)!} = \frac{25!}{4!21!}$. Simplifying, we find the value to be 12,650.

Evaluate nCr{ } _ { n } C _ { r }n​Cr​

Evaluate ${ } _ { n } C _ { r }$