Question

In a shop, there are five types of ice-creams available. A child buy six ice-creams.

Statement I The number of different ways the child can buy the six ice-creams is 10C5.

Statement II The number of different ways the child can buy the six ice-creams is equal to the number of different ways of arranging 6 A' and 4 B' in a row.

(a) Statement I is false, Statement II is true

(b) Statement I is true, Statement II is true; Statement II is a correct explanation of Statement I

(c) Statement I is true, Statement II is true; Statement II is not a correct explanation of Statement I

(d) Statement I is true, Statement II is false

Answer 1

Correct option (a) Statement I is false, Statement II is true

Explanation:

Since, the number of ways that child can buy the six ice-creams is equal to the number of different ways of arranging 6 A' and 4 B' in a row.

So, number of ways to arrange 6 A' and 4 B' in a row

And number of integral solutions of the equation

Hence, Statement I is false and Statement ll is true.