SOLUTION: If a quiz has five questions, and you are asked to rate your response to each question on a scale of 1 to 5 (1 being not likely at all, and 5 being very likely) and then total your

Question 812909: If a quiz has five questions, and you are asked to rate your response to each question on a scale of 1 to 5 (1 being not likely at all, and 5 being very likely) and then total your score for all five questions, how many different total scores are possible?
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
If I understand the problem correctly, you can assign a rating to each question that is independent of the other ratings. So the lowest total score would happen if a rating of 1 was assigned to each question: 5. And the highest total rating would happen if a rating of 5 was assigned to each question: 25. And with other combinations of ratings we could have total scores anywhere in between these lowest and highest scores.

This makes the number of possible different scores: 25 - 5 + 1 or 21.

P.S. When counting consecutive integers use the formula: highest - lowest + 1. For example, the number of integers from 100 to 200 (including 100 and 200) is not 100! It is 101: 200 - 100 + 1 = 101.
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