Q1 of 140 Page 313

A child has 6 pockets. In how many ways, he can put 5 marbles in his pocket?

The first marble can be put into the pockets in 6 ways,

i.e. Choose 1 Pocket From 6 by ⁶C₁=6

Similarly second, third, Fourth, fifth & Sixth marble. Thus, the number of ways in which the child can put the marbles is 6⁵

How many 6 - digit numbers can be formed by using the digits 4, 5, 0, 3, 4, 5?

The letters of the word ‘INDIA’ are arranged as in a dictionary. What are the 1^st, 13^th, 49^th and 60^th words?

In how many ways can 5 bananas be distributed among 3 boys, there being no restriction to the number of bananas each boy

may get?

In how many ways can 3 letters can be posted in 2 letterboxes?