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

If the different permutations of the word $\mathrm{EXAMINATION}$ are listed as in a dictionary, then how many words (with or without meaning) are there in this list before the first word starting with $M$.

Number of numbers greater than a million and divisible by $5$ which can be formed by using only the digits $1, 2, 1, 2, 0, 5$ & $2$ is -

The total number of ways in which four boys and four girls can be seated around a round table, so that no two girls sit together is equal to

Ten different letters of alphabet are given. Words with four letters are formed from the these letters, then the number of words which have at least one letter repeated is -

The number of ways of arranging the letters $AAAAA, BBB, CCC, D, EE$ and $F$ in a row if no two ‘$C$’s are together :

The number of ways in which we can arrange $n$ ladies & $n$ gentlemen at a round table so that $2$ ladies or $2$ gentlemen may not sit next to one another is -

A parallelogram is cut by two sets of $n$ parallel lines, parallel to the sides of the parallelogram. The number of parallelograms so formed is

The maximum possible number of points of intersection of $8$ straight lines and $4$ circles are