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Can you explain the answer of this question below:
Set S is given as S = {1,3,5,7,9,11,13,15,17}. In how many ways can three numbers be chosen from Set S such that the sum of those three numbers is 18?
  • A:
    0
  • B:
    1
  • C:
    2
  • D:
    3
  • E:
    4
The answer is a.
Most Upvoted Answer
Can you explain the answer of this question below:Set S is given as S ...
Set s has only odd numbers
sum of three odd numbers is always an even number
hence it is not possible in any way
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Community Answer
Can you explain the answer of this question below:Set S is given as S ...
To find the number of ways to choose three numbers from Set S such that their sum is 18, we can use a systematic approach.

1. Understanding the problem:
- Set S: {1, 3, 5, 7, 9, 11, 13, 15, 17}
- We need to choose three numbers from Set S such that their sum is 18.

2. Analyzing the given set:
- The minimum sum that can be obtained by choosing three numbers from Set S is 1 + 3 + 5 = 9.
- The maximum sum that can be obtained is 15 + 17 + 13 = 45.
- Since the sum of any three numbers from Set S is always odd, it is not possible to obtain a sum of 18.

3. Determining the number of ways:
- As mentioned earlier, it is not possible to obtain a sum of 18 by choosing three numbers from Set S.
- Therefore, there are 0 ways to choose three numbers from Set S such that their sum is 18.

4. Answer:
- The correct answer is option 'A' (0).

In summary, there are no ways to choose three numbers from Set S such that their sum is 18.
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