Answer:
35
Step-by-step explanation:
Simplify the expression. 7C3
the formula for nCr is [tex]\frac{n!}{r!(n-r)!}[/tex]
n=7 and r= 3. Plug in 7 for n and 3 for r in the formula
[tex]\frac{7!}{3!(7-3)!}[/tex]
[tex]\frac{7*6*5*4*3*2*1}{(3*2*1)(4*3*2*1)}[/tex]
Cancel out 4*3*2*1 at the top and bottom
[tex]\frac{7*6*5*4*3*2*1}{(3*2*1)}[/tex]
Cancel out 6 at the top and bottom
35
