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In a shop, there are five types of ice-c...

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_(4)`.
Statement-2: The number of different ways the child can buy six ice-creams is equal to the number of different ways to arranging 6A's and 4B's in a row.

A

Statement-1 is true, statement-2 is true, statement-2 is a correct explanation for statement-1

B

Statement-1 is true, statement-2 is true, statement-2 is not a correct explanation for statement-1

C

Statement-1 is true, statement-2 is false

D

Statement-1 is false, statement-2 is true

Text Solution

Verified by Experts

The correct Answer is:
A
`x_(1)+x_(2)+x_(3)+x_(4)+x_(5)=6implies.^(6+5-1)C_(5-1)=.^(10)C_(4)`
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