# Answer to Question #1736 in Statistics and Probability for Danah Cummins

Question #1736

A committee of 3 people are selected from a grouping of 15 doctors and 12 dentists. <br>i. In how many ways can the 3 people be selected:if there are no restrictions <br>ii.If the selection must contain exactly two doctors <br>iii.If the selection must contain at least 1 doctor and at least 1 dentist

Expert's answer

i. There are 4 ways to select 3 people: 3 doctors, 2 doctors 1 dentist,& 1 doctor 2 dentists,& 3 dentists.

ii. If the selection must contain exactly two doctors, there is only one way of selection: 2 doctors 1 dentist.

iii. If the selection must contain at least 1 doctor and at least 1 dentist, there are two ways:& 2 doctors 1 dentist,& 1 doctor 2 dentists.

ii. If the selection must contain exactly two doctors, there is only one way of selection: 2 doctors 1 dentist.

iii. If the selection must contain at least 1 doctor and at least 1 dentist, there are two ways:& 2 doctors 1 dentist,& 1 doctor 2 dentists.

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