amgray97 amgray97

22-01-2020
Mathematics

contestada

Evaluate C7, 5).

A. 21

B. 42

C. 1,008

Respuesta :

jimthompson5910 jimthompson5910

22-01-2020

Answer: A. 21

=======================================

C(n, r) = (n!)/(r!*(n-r)!) is the combination formula

C(7, 5) = (7!)/(5!*(7-5)!)

C(7, 5) = (7!)/(5!*2!)

C(7, 5) = (7*6*5!)/(5!*2!)

C(7, 5) = (7*6)/(2!) ..... note the "5!" terms divided and canceled

C(7, 5) = (7*6)/(2*1)

C(7, 5) = 42/2

C(7, 5) = 21

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