Mathematics - Permutation & Combination Question with Solution | TestHub

MathematicsPermutation & CombinationFundamental PrincipleMedium2 minQB

MathematicsMediumsingle choice

The number of distinct rational numbers of the form $p / q$ , where $p, q \in {1, 2, 3, 4, 5, 6}$ is

Options:

Answer:

Solution:

$p = 1, q = 1, 2, 3, 4, 5, 6 \Rightarrow 6$

$p = 2, q = 1, 3, 4, 5, 6 \Rightarrow 3 [∵ (2, 4), (2, 6)] p = 3, q = 1, 2, 4, 5, 6 \Rightarrow 4 [∵ (3, 6)] p = 4, q = 1, 3, 5, 6 \Rightarrow 3 [∵ (4, 6)] p = 5, q = 1, 2, 3, 4, 6 \Rightarrow 5 p = 6, q = 1, 5 \Rightarrow 2$

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

⏱ 2mℹ️ Source: QB

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