Question

Evaluate 7c4
a. 6
b. 1
c. 35
d. 840

Answer 1

`^7C_4 = 35`

Explanation:

We are given the following information in the question:

We have to evaluate:

Formula:

`^7C_4\\^n C_x = \displaystyle(n!)/((n-x)!x!)\\\\^7C_4 = \displaystyle(7!)/((7-4)!4!) =(7!)/(3!4!) =(7.6.5.4.3.2.1)/(3.2.1.4.3.2.1) = 35`

Thus, the is values is 35