Disha Expert Team Solutions for Exercise 1: EXERCISE

A bucket contains $8$ red, $3$ blue and $5$ green marbles. if $4$ marbles are drawn at random, what is the probability that $2$ are red and $2$ are blue?
 

A bucket contains $8$ red, $3$ blue and $5$ green marbles. If $2$ marbles are drawn at random, what is the probability that both are green?

A bucket contains $8$ red, $3$ blue and $5$ green marbles. If $3$ marbles are drawn at random, what is the probability that none is red?

There are a total of $10$ men and $8$ women in a group out of which $5$ men are teachers, $4$ men are doctors and $1$ is a businessman. Among the women, $3$ are teachers, $2$ are doctors, $2$ are researchers and $1$ is a social worker. Find the number of ways in which a committee of $5$ members can be formed in which there are $3$ men and $2$ women.

There are a total of $10$ men and $8$ women in a group out of which $5$ men are teachers, $3$ men are doctors and $1$ is a businessman. Among the women, $3$ are teachers, $2$ are doctors, $2$ are researchers and $1$ is a social worker. Find the no. of ways in which a committee of $4$ members can be formed in which there are at least $2$ women.

There are a total of $10$ men and $8$ women in a group out of which $5$ men are teachers, $3$ men are doctors and $1$ is a businessman. Among the women, $3$ are teachers, $2$ are doctors, $2$ are researchers and $1$ is a social worker. Find the no. of ways in which a committee of $5$ members can be formed in which there are $2$ male teachers, $2$ female teachers and a doctor.

There are a total of $10$ men and $8$ women in a group out of which $5$ men are teachers, $3$ men are doctors and $1$ is a businessman. Among the women, $3$ are teachers, $2$ are doctors, $2$ are researchers and $1$ is a social worker. Find the no. of ways in which a committee of $7$ members can be formed.

There are a total of $10$ men and $8$ women in a group out of which $5$ men are teachers, $3$ men are doctors and $1$ is a businessman. Among the women, $3$ are teachers, $2$ are doctors, $2$ are researchers and $1$ is a social worker. Find the no. of ways in which a committee of $3$ members can be formed in which there are no doctors and teachers.