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If a set of 'm' parallel lines intersect...

If a set of 'm' parallel lines intersect another set of 'n' parallel lines (not parallel to the lines in the first set), then find the number of parallelograms formed in this lattice structure.

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The correct Answer is:
The number of parallelograms formed is `""^(m)C_(2) xx ""^(n)C_(2)`.
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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-PERMUTATIONS AND COMBINATIONS-TAXTUAL EXERCISES
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  2. If ""^(n)P(7)=42. ""^(n)P(5). find n.

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  3. If ""^((n+1))P(5): ""^(n)P(6)=2:7, find

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  4. If ""^(12)P(5)+5. ""^(12)P(4)=""^(13)P(r), find r.

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  5. If ""^(18)P((r-1)):""^(17)P((r-1))=9:7, find r.

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