Question

A bag contains six white marbles and five red marbles. Find the number of ways in which four marbles can be drawn from the bag if they can be of any colour.

Answer 1

Total no of marbles $=6\text{white}+5\text{red}$

$=11\text{marbles}$

Since we have to draw $4$ Marbles of any color from the $11$ Marbles.

Hence required number of ways

${=}^{1}1C_4$

$=\frac{11!}{\left(\right(4!\left)\right(11-4)!)}$

$=\frac{11\times 10\times 9\times 8\times (7!))}{(4\times 3\times 2\times 1)(7!)}$

$=330$