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Yes or no: Do three of the following numbers add up to 12?

[tex]\[ 1, 6, 7, 3, 2 \][/tex]

Sagot :

GinnyAnswer
Let's determine if any three numbers from the set {1, 6, 7, 3, 2} can add up to 12.

First, we need to consider all possible combinations of three numbers from this set and check their sums. Here are the combinations:

1. [tex]\(1 + 6 + 7\)[/tex]
2. [tex]\(1 + 6 + 3\)[/tex]
3. [tex]\(1 + 6 + 2\)[/tex]
4. [tex]\(1 + 7 + 3\)[/tex]
5. [tex]\(1 + 7 + 2\)[/tex]
6. [tex]\(1 + 3 + 2\)[/tex]
7. [tex]\(6 + 7 + 3\)[/tex]
8. [tex]\(6 + 7 + 2\)[/tex]
9. [tex]\(6 + 3 + 2\)[/tex]
10. [tex]\(7 + 3 + 2\)[/tex]

Now, let's find the sums:

1. [tex]\(1 + 6 + 7 = 14\)[/tex]
2. [tex]\(1 + 6 + 3 = 10\)[/tex]
3. [tex]\(1 + 6 + 2 = 9\)[/tex]
4. [tex]\(1 + 7 + 3 = 11\)[/tex]
5. [tex]\(1 + 7 + 2 = 10\)[/tex]
6. [tex]\(1 + 3 + 2 = 6\)[/tex]
7. [tex]\(6 + 7 + 3 = 16\)[/tex]
8. [tex]\(6 + 7 + 2 = 15\)[/tex]
9. [tex]\(6 + 3 + 2 = 11\)[/tex]
10. [tex]\(7 + 3 + 2 = 12\)[/tex]

We can observe that the combination [tex]\(7 + 3 + 2\)[/tex] adds up to 12.

Therefore, the answer is Yes: Three of the given numbers do add up to 12.
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