Q.

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  10C5.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 A’s and 4 B’s in a row.

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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

answer is A.

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Detailed Solution

x1+x2+x3+x4+x5=65+6−1C5−1=10C4
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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  10C5.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 A’s and 4 B’s in a row.