Embibe Experts Solutions for Chapter: Permutation and Combination, Exercise 2: Exercise-2

The number of mappings of $g\left(x\right):B\to A$ such that $g\left(i\right)\le g\left(j\right)$ whenever $i<j$ is

Consider the word $\text{'}MULTIPLE\text{'}$ then in how many other ways can the letters of the word $\text{'}MULTIPLE\text{'}$ be arranged 

The number of ways of arranging the letters $AAAAA, BBB, CCC, D, EE \& F$ in a row if the letter $C$ are separated from one another is

The number of non-negative integral solutions of $x_1+x_2+x_3+x_4\le n$ (where $n$ is a positive integer) is

There are $10$ seats in the first row of a theatre of which $4$ are to be occupied. The number of ways of arranging $4$ persons so that no two persons sit side by side is

${}^{50}C_{36}$ is divisible by

Value of ${}^{2n}P_n$ is equal to :-

The number of ways in which $200$ different things can be divided into groups of $100$ pairs, is