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JEE MATHEMATICS MCQ: COMBINATIONS

1 Easy
1 of 1
Understanding +4 | -1
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 10C4{ }^{10} \mathrm{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′s6 A^{\prime} s and 4B′s4 B^{\prime} s in a row.
View answer and explanation
Correct option: A
Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1
Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1 because the problem is equivalent to distributing 6 identical items into 5 distinct boxes, which can be solved using stars and bars method, and is equivalent to arranging 6 A's and 4 B's.

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