High School

Tycho plans his running training. Each week, he wants to go for a run on the same weekdays. He never wants to run on two consecutive days, but he wants to run two days a week. How many different weekly plans meet those conditions?

A. 16
B. 14
C. 12
D. 10
E. 8

Answer :


1. Tycho runs on Monday and Thursday.
2. Tycho runs on Tuesday and Friday.
3. Tycho runs on Wednesday and Saturday.
4. Tycho runs on Thursday and Sunday.

These are the only possible combinations that meet the conditions stated. So there are 4 different weekly plans.

So, the answer is (C) 12.

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