A family has 12 children and two parents. (So, 14 people total.) On these problems, clearly...

A family has 12 children and two parents. (So, 14 people total.) On these problems, clearly state what you are taking to be pigeons and what you are taking to be pigeonholes, and apply the pigeonhole principle.

a. Show that at least two of the children were born on the same day of the week.

b. Show that at least two family members are born in the same month.

c. The house has four children’s bedrooms. Show that there is at least one bedroom with at least 3 children sleeping in it. (Hint: use the generalized pigeonhole principle)

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orchestra answered 1 year ago

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