Embibe Experts Solutions for Chapter: Permutations and Combinations, Exercise 1: Exercise

A speaks truth in $75\%$ and B in $80\%$ of the cases. In what percentage of cases are they likely to contradict each other in narrating the same incident?

If the set $A$ contains $7$ elements and the set $B$ contains $10$ elements, then the number of one-one functions from $A$ to $B$ is

In how many ways can a cricket team be chosen out of a batch of $15$ players, if a particular player is never chosen?

For the post of $5$ teachers, there are $23$ applicants. $2$ posts are reserved for SC candidates and there are $7$ SC candidates among the applicants. In how many ways can the selection be made?

In how many ways can we select $9$ balls out of $6$ red balls, $5$ white balls and $5$ blue balls if $3$ balls of each colour are selected?

In how many ways can a cricket team be chosen out of a batch of $15$ players, if a particular player is always chosen?

$12$ persons meet in a room and each shakes hands with all the others. How many handshakes are there ?

In how many ways can $5$ white balls and $3$ black balls be arranged in a row so that no two black balls are together?