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

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.

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