How will you do it ? (III)

\[\large \sum_{a=1}^{10} \sum_{b=a}^{10} \sum_{c=b}^{10}{\left( {a \times b+c} \right)}\]

What is the number of terms in the series given above?

Details and Assumptions:

  • \( \left({1 \times 1+1}\right) \) and \( \left({1 \times 1+2}\right) \) are the \( 1^{\textrm{st}} \) and the \( 2^{\textrm{nd}} \) terms of the series respectively.

this problem is a part of the set Fundamental Programming

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