Embibe Experts Solutions for Exercise 1: Telangana Board-2018

Find the number of ways of arranging the letter of the word "MATHEMATICS".

If ${}^{n}C_5={}^{n}C_6$, then find ${}^{13}C_n$.

Find the sum of all $4$ digit numbers that can be formed using the digits $1, 3, 5, 7, 9$.

Find the number of ways of selecting a cricket team of $11$ players from $7$ batsmen and $6$ bowlers, such that there will be at least $5$ bowlers in the team.

If ${}^n{C}_5{=}^n{C}_6$, then find ${}^{13}{C}_n$.

Find the number of ways of arranging the letters of the word MATHEMATICS.

A round table conference is attended by $3$ Indians, $3$ Chinese, $3$ Canadians and $2$ Americans. Find the number of ways of arranging them at the round table so that the delegates belonging to same country sit together.

Find the numbers of ways of selecting a cricket team of $11$ players from $7$batsman and $6$ bowlers such that there will be at least $5$ bowlers in the team.