Evaluate ${ } _ { n } C _ { r }$ using the formula from this section.? ${ } _ { 48 } C _ { 5 }$ ?
A)1,712,304
B)377,348,994
C)12,271,512
D)73,629,072
E)205,476,480

Question

Quizplus · Accepted Answer

The formula for combinations is ${ } _ { n } C _ { r } = \frac{n!}{r!(n-r)!}$. For ${ } _ { 48 } C _ { 5 }$, it is $\frac{48!}{5! \times 43!}$. Calculating this gives 1,712,304.

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

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