J.K. Chopra Solutions for Chapter: Reasoning (lncluding Mathematical), Exercise 36: Practice Exercise

In how many different ways can be letters of the work DISTANCE be arranged so that all the vowels come together?

In how many ways can the letters of the word 'DIGEST' be arranged so that the vowels do not come together?

Ten points are marked on a straight line and eleven points are marked on another straight line. How many triangles can be constructed with vertices from among the above points?

A class photograph has to be taken. The front row consists of $6$ girls who are sitting. $20$boys are standing behind. The two corner positions are reserved for the $2$ tallest boys. In how many ways can the students be arranged?

To fill a number of vacancies, an employer must hire $3$ programs from among $6$ applicants and $2$ managers from among $4$ applicants. What is the total number of ways in which she can make her selection?

In how many different ways can the letters of the word 'ABSENTEE' be arranged?

The number of ways in which a committee of $3$ ladies and $4$ gentlemen can be appointed from a meeting consisting of $8$ ladies and $7$ gentlemen. If Mrs. X refuse to serve in a committee if Mr. Y is its member is:

In how many ways. can $4$ boys and $3$ girls be placed on seats in a queue, while two girls should not sit side by side?