Embibe Experts Solutions for Chapter: Permutations and Combinations, Exercise 1: AP EAPCET - 20 Aug 2021 Afternoon

In how many ways can $5$ balls be placed in $4$ tins if any number of balls can be placed in any tin?

For $1\le r\le n, \frac{1}{r+1}\left\{{}^n{P}_{r+1}-{}^{(n-1)}P_{r+1}\right\}$ is equal to

In how many ways can $9$ examination papers be arranged so that the best and the worst papers are never together?

The value of ${}^{6}P_4+4·{}^{6}P_3$ is ______.

The number of ways in which $3$ boys and $2$ girls can sit on a bench so that no two boys are adjacent is  ______

The number of ways of distributing eight identical rings to three different girls so that every girl gets at least one ring is

In how many ways $4$ balls can be picked from $6$ black and $4$ green colored balls such that at least one black ball is selected?

A set contains $11$ elements. The number of subsets of the set which contain at most $5$elements is