In how many ways can the letters of the word MATHEMATICS be arranged so that all the vowels always come together?

In how many different ways can the letters of the word MACHINE be arranged so that the vowels may occupy only the odd po…

Find the total number of distinct vehicle numbers that can be formed using two letters followed by two numb…

In how many ways can 5 different toys be packed in 3 identical boxes such that no box is empty, if any of the boxes may …

In how many ways 4 boys and 3 girls can be seated in a row so that they are alternate.

In how many ways can 8 Indians and, 4 American and 4 Englishmen can be seated in a row so that all person of the same na…

A committee of 5 members is to be formed out of 3 trainees, 4 professors and 6 research associates. In how many differen…

a, b, c, d and e are five natural numbers. Find the number of ordered sets (a, b, c, d, e) possible such that a + b + c …