Each of 12 people chose an integer from 1 to 5, inclusive. did at least one person choose the number 1?
1) no number was chosen by more than 3 people.
2) more people chose the number 5 than the number 4.a. ab. bc. cd. de. e

Yes

Step-by-step explanation:

If no number was chosen by more than 3 people and more people chose the number 5 than the number 4, then in the worst scenario (least amount of people chose the number 1) the number 4 was chosen 2 times and the number 2, 3 and 5 were chosen 3 times. That makes a total of 3*3+2 = 11, so 1 person choose the number 1. This was the worst scenario, that guarantees that at least 1 person choose the number 1.

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step-by-step explanation: