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

Question

Martha Wilkinson

Mathematics

22 January, 12:35

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

+3

Answers (1)

Know the Answer?

Rubi Buck · Answer 1

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.

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

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