Embibe Experts Solutions for Exercise 7: Assignment

There are $15$ couples taking part in a single tournament, the number of ways in which they can be paired such that no two real lives couple play in the same team is

The number of different ways of assigning $10$ marks to $3$ questions is

A committee of $12$ is to be formed from $9$ women and $8$ men. Then the number of ways of selecting committees so that men are in majority is

A box contains two white balls, three black balls and four red balls. Number of ways in which $3$ balls can be drawn from the box such that at least one black ball is to be included in the draw is equal to____

Number of different nine-digit numbers that can be formed from the number $223355888$ by rearranging its digit so that the odd digit occupy even position is equal to___

Let $S\left(n\right)$ denote the number of ordered pairs $\left(x,y\right)$ satisfying $\frac{1}{x}+\frac{1}{y}=\frac{1}{n}$ where $n>1$ and $x,y\in N$ then value of $S\left(6\right)$ is equal to____

The number of ways in which a person can choose $3$ squares on a chessboard such that one of the squares has its sides common to other two squares is equal to____

Number of octagons that can be formed by using vertices of $20$ sided polygon such that no side of octagon is common with side of polygon is given by ${}^{13}C_{r_1}-{}^{11}C_{r_2}$ then minimum value of $r_1+r_2$ is equal to___