For each of n = 0, 1, 2, 3, 4, how many 5-card hands from a 52-card deck contain exactly n queens?

Q: Suppose that there are 9 female and 12 male students in a classroom. How many different 5-member…

A: According to the provided information, number of female students = 9 number of male students = 12…

Q: In how many ways can a group of 6 students be selected from 7 students?

A:

Q: How many five-card hands (drawn from a standard deck) contain exactly two spades? (A five-card hand…

A: There are 13 spades in a deck of 52 cards. We can select 2 spades in 13C2=78 ways.

Q: Assume that you have a 52-card deck at hand and you are planning to draw 5 cards from the deck. How…

A: The number of cards in the deck is 52.The number of cards to be drawn is 5.In order to obtain a…

Q: In a group of 4 people, is it possible for each person to have exactly 3 friends? Why?

A: Let G be a graph with 4 vertices, one vertex representing each person in the group. Join two…