Question

How many ways can four marbles be chosen from a set of five marbles?2010155

Answer 1

The total marbles is given 5.

It is given that we have to choose 4 marbles out of 5 marbles.

Apply the formula.

`^nC_r=(n!)/(r!(n-r)!)`

Susbtitute the value of n=5 and r=4 in the formula given.

`^5C_4=(5!)/(4!(5-4)!)`
`^5C_4=(5!)/(4!1!)`
`^5C_4=(5*4!)/(4!*1)`
`^5C_4=5`

Thus there are 5 ways from which we can choose four marbles from a set of