Evaluate 7C3 explain how you got your answer

Formula is

ₙCₖ = (n!) / (k! * (n-k) !)

so ₇C₃ = (7!) / (3! * (7-3) !)

and 7! = 7 * 6 * 5 * 4 * 3 * 2 * 1

= (7 * 6 * 5 * 4 * 3 * 2 * 1) / (3 * 2 * 1 * 4!)

= (7 * 6 * 5 * 4) / (4!)

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

= (7 * 6 * 5) / (6 * 1)

= (7 * 5) / (1)

= 35