Question

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

Answer 1

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

Explanation:

Given:-

• 6books

To find:-

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

Ans:-

`\sf \to ^6C_4 = (6!)/(4!(6 - 4)!)`

`\sf \to ^6C_4 = (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}`