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Given below are two quantities named I and II. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose among the possible answers. There are five boys and four girls in a group Only three have to be selected from them for a presentation. Quantity I: Total number of ways if at least one boy has to be selected. Quantity II: Total number of ways if at least one girl has to be selected.

Given below are two quantities named I and II. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose among the possible answers. There are five boys and four girls in a group Only three have to be selected from them for a presentation. Quantity I: Total number of ways if at least one boy has to be selected. Quantity II: Total number of ways if at least one girl has to be selected. Correct Answer Quantity I > Quantity II

Formula:

n members can be selected from a total of m people in mCn ways.

Calculation:

Total number of ways = 9C3 = 9 × 8 × 7 / 3 × 2 = 84

Quantity I:

Total number of ways if at least one boy has to be selected

= Total number of ways - the case where no boy is selected (only girls are selected)

= 84 - 4C3 = 84 - 4 = 80

Quantity II:

Total number of ways if at least one girl has to be selected =

= Total number of ways - the case where no girl is selected (only boys are selected)

= 84 - 5C3 = 84 - 5 × 4 / 2 = 84 - 10 = 74

Quantity I > Quantity II

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