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.

$^nC_r=\frac{n!}{r!(n-r)!}$

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

$^5C_4=\frac{5!}{4!(5-4)!}$$^5C_4=\frac{5!}{4!1!}$$^5C_4=\frac{5\times4!}{4!\times1}$$^5C_4=5$

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