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

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 As and 4 Bs 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

AI Generated Solution

To solve the problem, we need to analyze the statements regarding the purchase of ice creams by a child. The child buys six ice creams from five different types available in the shop. ### Step-by-Step Solution: 1. **Understanding the Problem**: We need to find the number of different ways the child can buy six ice creams from five types. This can be represented as: \[ x_1 + x_2 + x_3 + x_4 + x_5 = 6 ...
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