Three different members of the set {4,5,6,7,8,9} are chosen at random and added. How many different sums are possible?
2 answers:
There are 10 sums that are possible
Answer:
10
Step-by-step explanation:
4+5+6=15,
4+5+7=16,
4+5+8=17,
4+5+9=18,
4+6+7=17,
4+6+8=18,
4+6+9=19,
4+7+8=19,
4+7+9=20,
4+8+9=21,
5+6+7=18,
5+6+8=19,
5+6+9=20,
5+7+8=20,
5+7+9=21,
5+8+9=22,
6+7+8=21,
6+7+9=22,
6+8+9=23,
7+8+9=24.
There are sums 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 10 different sums in total.
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