In a railway compartment, there are 2 rows of seats facing each other with accommodation for 5 in each, 4 wish to sit fa…

In how many ways can 6 green toys and 6 red toys be arranged, such that 2 particular red toys are never together whereas…

In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together…

In how many different ways can the letters of the word BANKING be arranged in such a way that the vowels always come tog…

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

Find the number of triangles which can be formed by joining the angular points of a polygon of 8 sides as vertices.

How many ways can 10 letters be posted in 5 post boxes, if each of the post boxes can take more than 10 letters?

A committee of 5 members is to be formed by selecting out of 4 men and 5 women. In how many different ways the committee…