Discrete Math Consider a set of six classes, each meeting regularly once a week

Question

Discrete Math

Consider a set of six classes, each meeting regularly once a week on a particular day of the week. Choose the statement that best explains why there must be at least two classes that meet on the same day. assuming that no classes are held on weekends O The pigeonhole principle shows that in any set of six classes there must be more than two classes that meet on the same day because there are only five weekdays for each class to meet on. O The pigeonhole principle shows that in any set of six classes there must be at least two classes that meet on the same day because there are only five weekdays for each class to O The pigeonhole principle shows that in any set of six classes there must be exactly two classes that meet on the same day because there are only five weekdays for each class to O The pigeonhole principle shows that in any set of six classes there must be at least two classes that meet on the same day because there are more than two classes in total meet on meet on.

Explanation / Answer

Solution: The correct option is b) :

The pigeonhole principle shows that in any set of six classes there must be at least two classes that meet on the same day because there are only 5 weekdays for each class to meet on.

As the pigeonhole principle states that if n + 1 objects are put into n boxes, then at least one box contains two or more objects. It does not talk about exactness or atmost conditions but that of at least condition.

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