Embibe Experts Solutions for Chapter: Permutation and Combination, Exercise 1: KEAM 2018

Five points are marked on a circle. The number of distinct polygons of three or more sides can be drawn using some (or all) of the five points as vertices is

The sum of all proper divisor of $9900$ is

If ${}^{\mathrm{n}}\mathrm{P}_{\mathrm{r}}=840$ and ${}^{\mathrm{n}}\mathrm{C}_{\mathrm{r}}=35$, then the value of $\mathrm{r}$ is equal to

The total number of $4$ digit numbers in which the digits are in ascending order is

In a group of $6$ girls, two are sisters. In how many ways can they sit if the sisters do not sit with each other

The number of $6$ digit telephone numbers having atleast one of their digits repeated is

The number of ways a committee of $4$ people can be chosen from a panel of $10$ people is

Number of ways of dividing $7$ men and $7$ women into $7$ couples, with a man and woman each is