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Evaluate the double summation:

\[
\sum_{i=1}^{5} \sum_{j=1}^{4} ij
\]

What is the value of this summation?

A. 50
B. 20
C. 150
D. None of these answers
E. 15
F. 100

Answer :

Answer:

We can solve Σ5i=1 Σ4j=1 ij by performing nested summations. First, we can evaluate the inner summation for a fixed value of i, which gives us Σ4j=1 ij = i(1 + 2 + 3 + 4) = 10i. Then, we can perform the outer summation to get Σ5i=1 10i = 10(1+2+3+4+5) = 150. Therefore, the value of the given summation is 150.

Answer: 150

Explanation:

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