# In a shop there are five types of ice-creams available. A child buys six ice-creams. Statement-1 : The number of different ways the child can buy the six ice-creams is 10C5 . Statement -2 : 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’s and 4 B’s in a row.

Question:

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

Statement-1 : The number of different ways the child can buy the six ice-creams is ${ }^{10} C_{5}$.

Statement -2 : The number of different ways the child can buy the six ice-creams is equal to the number of different ways of arranging $6 \mathrm{~A}$ ‘s and $4 \mathrm{~B}$ ‘s in a row.

1. Statement $-1$ is false, Statement- 2 is true

2. Statement $-1$ is true, Statement- 2 is true; Statement $-2$ is a correct explanation for Statement-1

3. Statement – 1 is true, Statement- 2 is true; Statement 2 is not a correct explanation for Statement-1

4. Statement $-1$ is true, Statement- 2 is false

Correct Option: 1

JEE Main Previous Year 1 Question of JEE Main from Mathematics Binomial Theorem and its Simple Applications chapter.
JEE Main Previous Year 2008

Solution:

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