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.

Options

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

Answer

A

Explanation

`x_(1)+x_(2)+x_(3)+x_(4)+x_(5)=6implies.^(6+5-1)C_(5-1)=.^(10)C_(4)`