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Mathematics - Permutation & Combination Question with Solution | TestHub

MathematicsPermutation & CombinationFundamental PrincipleEasy2 minQB

MathematicsEasysingle choice

There are 15 different apples and 10 different pears. How many ways are there for Jack to pick an apple or a pear and then Jill to pick an apple and a pear.

Options:

Answer:

Solution:

If Jack Pick an apple in $^{15} C_{1}$ ways then Jill in $^{14} C_{1} \cdot^{10} C_{1}$ . If Jack pick a pear in $^{10} C_{1}$ way then Jill in $^{15} C_{1} \cdot^{9} C_{1}$

$∴ Total no. of ways =^{15} C_{1}^{14} C_{1}^{10} C_{1} +^{10} C_{1}^{15} C_{1}^{9} C_{1} = 150 (23)$

Stream:JEESubject:MathematicsTopic:Permutation & CombinationSubtopic:Fundamental Principle

⏱ 2mℹ️ Source: QB

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