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JEE MATHEMATICS MCQ: PERMUTATIONS

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Application +4 | -1
In a plane, there are two sets of parallel lines, one of mm lines and the other of nn lines. If the lines of one set cut those of the other, then the number of different parallelograms that can be formed is
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Correct option: C
nm(m−1)(n−1)4\frac{n m(m-1)(n-1)}{4}
Option C (nm(m−1)(n−1)4\frac{n m(m-1)(n-1)}{4}) is correct because it represents the number of ways to choose two lines from each set of parallel lines to form a parallelogram.

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