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Question
Assertion :The number of ways of selecting 5 students from 12 students (of which six are boys and six are girls), such that in the selection there are at least three girls is 6C3⋅9C2. Reason: If a work has two independent parts, of which first part can be done in m way and for each choice of first part, the second part can be done in n ways, then the work can be completed in m×n ways.
Assertion :The number of ways of selecting 5 students from 12 students (of which six are boys and six are girls), such that in the selection there are at least three girls is 6C3⋅9C2. Reason: If a work has two independent parts, of which first part can be done in m way and for each choice of first part, the second part can be done in n ways, then the work can be completed in m×n ways.
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Solution
The correct option is D Assertion is incorrect but Reason is correct
Statement - II is true, known as the rule of product.
Statement - I is not true, as the two parts of the work are not independent. Three girls can be chosen out of six girls in 6C3 ways, but after this choosing 2 students out of the remaining 9 students depends on the first part.
Statement - II is true, known as the rule of product.
Statement - I is not true, as the two parts of the work are not independent.
Three girls can be chosen out of six girls in 6C3 ways, but after this choosing 2 students out of the remaining 9 students depends on the first part.
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