Mathematics - Permutation & Combination Question with Solution | TestHub

MathematicsPermutation & CombinationnPr & nCrMedium2 minPYQ_2018

MathematicsMediumsingle choice

If a parallelogram is cut by two sets of $m$ lines parallel to its sides, then the number of parallelogram thus formed, is

Options:

Answer:

Solution:

The two sets of $m$ parallel lines along with two sets of two parallel lines of the given parallelogram will form two sets of $(m + 2)$ parallel lines. Each parallelogram is formed by choosing two parallel lines from each of the above

$∴$ Total number of parallelograms

$= {}^{m + 2}C_{2} \times {}^{m + 2}C_{2} = {({}^{m + 2}C_{2})}^{2}$

Hence, option (c) is correct.

Stream:BITSATSubject:MathematicsTopic:Permutation & CombinationSubtopic:nPr & nCr

⏱ 2mℹ️ Source: PYQ_2018

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