Question

How many combinations of 4 books can you choose from 6 books?

Answer 1

Answer:

$\huge\boxed{\bf{^6C_4 = 10combinations}}$

Step-by-step explanation:

Given:-

• 6books

To find:-

• How many combinations of 4 books can you choose from 6 books?

Ans:-

$\sf \to ^6C_4 = \frac{6!}{4!(6 - 4)!}$

$\sf \to ^6C_4 = \frac{6!}{4!2!}$

$\sf \to ^6C_4 = \frac{\cancel6^2*5*\cancel{4!}}{\cancel{4!}\cancel{2!}}$

$\sf \to ^6C_4 = 2*5$

$\sf \to ^6C_4 = 10combinations$

$\:$

$\huge\colorbox{blue}{BlackPain}$