In a game of musical chairs, 6 children will sit in 5 chairs arranged in a row (one will be left out). In how many ways can this happen, if we count rearrangements of the children in the chairs as different outcomes?

Q: A student is to select three courses for next semester. If this student decides to…

A: Given that 7 economic courses, 9 mathematics courses, and 4 computer courses, We have to select 3…

Q: A committee consists of 4 men and 5 women. Three members are to be selected at random to form a…

A: Given that  Committee consists of  4 Men and 5 Women  Then we have to choose 3 members to be…

Q: Two coins are randomly drawn from a coin pouch. If there are 4 dimes, 2 nickels, and a quarter, how…

A: Two coins are randomly drawn out from  a coin pouch . In a pouch we have given that there are 4…

Q: A woman owns 18 shirts, 10 skirts, and 14 pairs of shoes. She will randomly select 1 shirt, 1 skirt,…

A: Provided data is, woman owns 18 shirts, 10 skirts, and 14 pairs of shoes. She will randomly select 1…

Q: On the game show Grab That Cash, the contestant is given three envelopes and six bills (three $10…

A: GivenThe number of envelops =3 The total number of bills =6The number of $10 bills =3The number of…

Q: There are nine shirts in your closet,f ive blue and four green. Three of the blue shirts and two of…

A: Given that, There are 9 shirts in the closet in which 5 are blue and 4 are green. 3 of the blue and…

Q: In a box there are: 11 red books, 7 white books and 4 blue books. Five books are randomly selected.…

A: From the above data  We are given that  11 red books, 7 white books and 4 blue book

Q: How many different ways can the golf pro at a golf club select a foursome consisting of 1 man and 3…

A: Given,   Number of males = 8 Number of females = 11   The objective is to find how many different…

Q: Morra is a hand game that dates back thousands of years to ancient Roman and Greek times. Two people…

A:

Q: How many 13-card bridge hands can be chosen from a deck of cards

A: Ans:-  How many 13-card bridge hands can be chosen from a deck of cards?

Q: Diana​ Baniak, searching for an Ecology​ class, knows that it must be in one of seven classrooms.…

A: Total there are 7 rooms and Diana​ Baniak will select 3 rooms at random.

Q: There are 12 students in a high school senior class. In how many ways could the yearbook choose one…

A: The objective of this question is to find out the number of ways in which one student can be chosen…

Q: A poker game requires players to draw a card and roll a die. The combination of card and die will…

A: Let there be x types of item A and y types of item B . Then, the number of different combinations of…

Q: marching band consists of 11 pipers and 12 drummers.  Three of them are selected to march in order…

A: The formula for Permutation is nPr = n!/(n – r)!. Explanation: Consider that r items need to be…

Q: A standard deck of cards contains 4 suits (Hearts, Diamonds, Spades, and Clubs) each containing 13…

A: There are total 4 suits  So we can pick the suit in 4 ways.  1 suit has 13 cards When the suit is…

Q: A man just bought 6 suits, 11 shirts, and 15 ties. All of these suits, shirts, and ties coordinate…

A: Theory of Combination:

Q: There are 20 members of a club.  The club is going to select a president, vice president, and…

A: Given: 20 members in a club.

Q: How many​ 5-card hands can be dealt from a standard deck of 52​ cards?

A: The objective of this question is to find out the number of different 5-card hands that can be dealt…

Q: How many different 5 card hands have three of a kind (3 cards if one kind, 1 card of a second kind,…

A: Introduction: The total number of ways in which a 5-card hand can be dealt from the standard 52-card…

Q: How many ways can you be dealt two pairs in a hand of 5 cards

A: The combination formula is given by:

Q: A teacher had chooses 3 of 22 students to help clean the room after school. In How many ways can the…

A: Given that A teacher had chooses 3 of 22 students to help clean the room after school. To find…

Q: how many hands of 33 cards can be made, where all cards are of the same suit?

A:

Q: how many pairs (two cards with the same face and three cards with all different faces) are possible…

A: