Question: Solve these counting problems using the pigeonhole principle.(1) The smallest number of people in a group needed to guarantee that at least two were born

Solve these counting problems using the pigeonhole principle.(1) The smallest number of people in a group needed to guarantee that at least two were born in the same month is .(2) The smallest number of people in a group needed to guarantee that at least two have the same first and last initials is .(3) The smallest number of people in a group needed to guarantee that at least two have the same first initial and were born on the same day of the week is .(4) The smallest number of people in a group needed to guarantee that at least two were born on the same day of the year, assuming that nobody in the group was born on February 29 in a leap year, is

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