Verified Answer :

7 choose 3 is going to be 35

Answer:

35

Step-by-step explanation:

Simplify the expression. 7C3

the formula for nCr is \(\frac{n!}{r!(n-r)!}\)

n=7 and r= 3. Plug in 7 for n and 3 for r in the formula

\(\frac{7!}{3!(7-3)!}\)

\(\frac{7*6*5*4*3*2*1}{(3*2*1)(4*3*2*1)}\)

Cancel out 432*1 at the top and bottom

\(\frac{7*6*5*4*3*2*1}{(3*2*1)}\)

Cancel out 6 at the top and bottom

35