In a shop there are five types of ice-cream available. A child buys six ice-cream. Statement - 1: The number of different ways the child can buy the six ice-cream is ¹⁰C₅. Statement - 2: The number of different ways the child can buy the six ice-cream is equal to the number of different ways of arranging 6 A and 4 B's in a row.

(A) Statement - 1 is false, Statement - 2 is true

(B) Statement - 1 is true, Statement - 2 is true, Statement - 2 is a correct explanation for Statement - 1

(C) Statement - 1 is true, Statement - 2 is true, Statement - 2 is not a correct explanation for Statement - 1

(D) Statement - 1 is true, Statement - 2 is false

Permutations and Combinations: JEE Main 2008 Mathematics question

JEE Main 2008 · Annual, Paper 1 · Q4813

JEE Main 2008Annual, Paper 1MathematicsMediumPermutations and Combinations98× since 2002

In a shop there are five types of ice-cream available. A child buys six ice-cream. Statement - 1: The number of different ways the child can buy the six ice-cream is

{}^{10}{C_5}

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

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JEE Main 2008 Permutations and Combinations Question with Solution (Annual Paper 1, Q4813) | JEE Arc