There re three books of physics, four of chemistry and five of mathematics. How many different collections can be made such that each collection consists of (i) one book of each subject (ii) atleast one book of each subject. (iii) atleast one book of mathematics.

There are 6 books on mathematics, 4 books on physics and 5 books on chemistry in a book shop. The number of ways can a student purchase either a book on mathematics or a book on chemistry, is

In how many ways 12 different books can be distributed equally among 3 persons?

. In how many ways can 5 different books be tied up in three bundles?

In how many ways 5 different balls can be distributed into 3 boxes so that no box remains empty?

In a class of 55 students, the number of students studying different subjects are 23 in Mathematics, 24 in Physics, 19 in Chemistry, 12 in Mathematics and Physics, 9 in Mathematics and Chemistry, 7 in Physics and Chemistry and 4 in all the three subjects. Find the number of students who have taken exactly one subject.

In how many ways 5 different balls can be arranged into 3 different boxes so that no box remains empty?

How many different signals can be given using any number of flags from 4 flags of different colours?

The English alphabet has 5 vowels and 21 consonants. How many words with two different vowels and 2 different consonants can be formed from the alphabet ?

In how any ways can 8 different books be distributed among 3 students if each receives at least 2 books?