$\begin{array}{1 1}(A)\;1000\\(B)\;1500\\(C)\;2000\\(D)\;2500\end{array} $

Want to ask us a question? Click here

Browse Questions

Ad |

0 votes

0 votes

- $C(n,r)=\large\frac{n!}{r!(n-r)!}$

The number of ways of selecting 3 red balls out of 6 red balls =$6C_3$

The number of ways of selecting 3 white balls out of 5 white balls =$5C_3$

The number of ways of selecting 3 blue balls out of 5 blue balls =$5C_3$

The number of ways of selecting 3 balls of each colour

$6C_3\times 5C_3\times 5C_3=6C_3\times 5C_2\times 5C_2$

$\Rightarrow \large\frac{6\times 5\times 4}{1\times 2\times 3}\times \frac{5.4}{1\times 2}\times \frac{5.4}{1.2}$

$\Rightarrow 20\times 10\times 10$

$\Rightarrow 2000$

Hence (C) is the correct answer.

Ask Question

Take Test

x

JEE MAIN, CBSE, AIPMT Mobile and Tablet App

The ultimate mobile app to help you crack your examinations

...