Question

Simplify the expression. 7C3

A. 5,040

B. 210

C. 1

D. 35

Answer 1

7 choose 3 is going to be 35

Answer 2

35

Explanation:

Simplify the expression. 7C3

the formula for nCr is
`(n!)/(r!(n-r)!)`

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

`(7!)/(3!(7-3)!)`

`(7*6*5*4*3*2*1)/((3*2*1)(4*3*2*1))`

Cancel out 4*3*2*1 at the top and bottom

`(7*6*5*4*3*2*1)/((3*2*1))`

Cancel out 6 at the top and bottom

35