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Question

Question: A parallelograms is cut by two sets of m lines parallel to its sides. The number of parallelograms t...

A parallelograms is cut by two sets of m lines parallel to its sides. The number of parallelograms then formed is

A

(mC2)2

B

(m+1C2)2

C

(m+2C2)2

D

None of these

Answer

(m+2C2)2

Explanation

Solution

(m+2C2×m+2C2)\left( m + 2C_{2} \times^{m + 2}C_{2} \right)