GATE CS 2022: Discrete mathematics 4 (App update required to attempt this test)

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

There are 6 periods in each working day of a school. In how many ways can one organize 5 subjects such that each subject is allowed at least one period?

In how many ways can 10 books be arranged on a shelf such that a particular pair of books will never be together?

Calculate the number of ways of combination or selection of 11 players out of 20 players where A and B are always excluded.

In how many ways 20 indistinguishable chocolate can be distributed into 4 students such that every student gets at least three chocolates is ___________?