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JEE MATHEMATICS MCQ: COMBINATIONS

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Application +4 | -1
In a shop there are five types of ice-creams (each type is available unlimited). A child buys six ice-creams.
Statement-1: The number of different ways the child can buy the six ice-creams is 10C5{ }^{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 6A′s6 {A}^{\prime} \mathrm{s} and 4B4 {B} 's in a row.
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Correct option: C
Statement - 1 is false, Statement - 2 is true.
Statement - 1 is false, Statement - 2 is true. Statement 1 incorrectly calculates the number of ways to choose the ice creams, while Statement 2 correctly relates it to arranging A's and B's.

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