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How many different integers can be expressed as the sum of three distinct members of the set {1,4,7,10,13,16,19}?

 Nov 19, 2019
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How many different integers can be expressed as the sum of three distinct members of the set {1,4,7,10,13,16,19}?

 

 \(\begin{array}{|r|r|r|} \hline 1.)& ( 1, 4, 7) & sum = 12 \\ 2.)& ( 1, 4, 10) & sum = 15 \\ 3.)& ( 1, 4, 13) & sum = 18 \\ 4.)& ( 1, 4, 16) & sum = 21 \\ 5.)& ( 1, 4, 19) & sum = 24 \\ 6.)& ( 1, 7, 19) & sum = 27 \\ 7.)& ( 1, 10, 19) & sum = 30 \\ 8.)& ( 1, 13, 19) & sum = 33 \\ 9.)& ( 1, 16, 19) & sum = 36 \\ 10.)& ( 4, 16, 19) & sum = 39 \\ 11.)& ( 7, 16, 19) & sum = 42 \\ 12.)& (10, 16, 19) & sum = 45 \\ 13.)& (13, 16, 19) & sum = 48 \\ \hline \end{array} \)

 

laugh

 Nov 20, 2019

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