How many parallelograms are there in the given figure?


Answer:

^@ 210 ^@

Step by Step Explanation:
  1. The number of row in the given figure ^@m = 4 ^@
    The number of column in the given figure ^@n = 6 ^@
    According to the question, we need to find the number of parallelograms in the given figure.
  2. The total number of parallelograms in the figure @^ \begin{align} &= \sum\limits_{m=1}^{ 4 } m \times \sum\limits_{n=1}^{ 6 } n \\ &= (1 + 2 + 3 + 4) \times (1 + 2 + 3 + 4 + 5 + 6) \\ &= 10 \times 21 \\ &= 210 \end{align} @^

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