How many different ways can you arrange 10 students (4 students with blonde hair, 2 students with black hair, and 4 students with brown hair) for a photograph: With no restrictions?

Q: Assume that you have a 52-card deck at hand and you are planning to draw 6 cards from the deck. How…

A: We have,Number of cards in deck = 52Number of cards are planning to draw from deck = 6

Q: A group of 10 friends go to a movie theater to see a newly released film. The friends consist of…

A: As per the given information 5 married couples are there and each couple must sit together Possible…

Q: A person can select one of the five different colors from brick borders, one type of six different…

A:

Q: A survey was conducted to 60 students about the type of copies they want to send to them. 53…

A: From the given data:

Q: A casting director wishes to find one cat and one dog to cast in his play. If he plans to audition 5…

A: The objective of this question is to find the number of different ways the casting director can…

Q: The University of Montana ski team has twelve entrants in a men's downhill ski event. The coach…

A: There are 12 entrants in a ski event and from these entrants first, second and third places to go to…

Q: Tom has 16 blue pencils, of which 12 are striped dark blue and light blue, and the rest are solid…

A: There are 16 blue pencils and 9 red pencils out of which 12 are striped dark blue and light blue and…

Q: There are 8 persons inside a room. If each will dance cha-cha with the other 7, how many dances are…

A: Given, There are 8 persons inside a room and each will dance with the other 7 To find the number of…

Q: How many different 4 card hands can be dealt from a deck of 52 cards? The order of the cards does…

A:

Q: Four cards are dealt from a standard deck of 52 cards. How many ways can you be dealt two jacks and…

A: A standard deck contains 52 cards. Four cards have to select.

Q: Pfizer claims that their COVID-19 vaccine is 95% effective. Suppose that in a clinical trial test,…

A:

Q: There are 10 boys and 6 giris. How many ways are there of forming a group of either 3 boys or…

A: We have given that  There are 10 boys and 6 girls. Total number of girls and boys = 16   Combination…

Q: The 14 teams in the local Little League are listed in the newspaper. How many listings are possible?

A: In this case, there are 14 teams in the local little league.

Q: Find the number of ways to divide 20 people into Group A (8 people), Group B (7 people) and Group C…

A:

Q: An employment agency has 6 temporary workers. In how many ways could 3 of them be assigned to 3…

A: In theory of combinatorics, the way of selecting r objects from n objects with regard to the order…

Q: In the local boating pond there are 11 plain wooden boats, each with a different number. The owner…

A:

Q: In a bag containing 5 white balls and 6 black balls, how many ways can we draw a white or a black…

A:

Q: From a standard​ 52-card deck, how many 7​-card hands consist of 5 clubs and 2 diamonds​?

A: There are total 13 clubs and 13 diamonds.  We can pick 5 clubs from 13 clubs in 13C5 ways. We can…

Q: Draw a vent Diagram representing this situation.

A: Given that Number of students who like soccer = 15 Number of students who like basketball = 10…

Q: For the student's college council committee, in how many ways can you select a committee of 3…

A: As given That student council committee , The order of selected committee students is not needed…

Q: Mr. H has a collection of 500 vessels. In how many ways can he name his favorite and second favorite…

A:

Q: A family has 4 children.  How many different boy/girl orders are possible?

A: When a family has a child there are two possibilities either a boy or a girl.

Q: if  there was 56 students and 8 groups how many were in each group

A: Given that  Number of students=56 Number of groups=8 To find Number of students in each group.

Q: Five children, A, B, C, D and E, were sitting around a table.  Cards with numbers 201 to 400,…

A: Given : A, B, C, D and E, were sitting around a table B took the first card, C took the second, and…

Q: Colin has 9 cd’s in his carrying case – two John Tesh, three Michael Jackson, and four Beatles. How…

A: Given: Number of cds = 9 Number of John Tesh cds = 2 Number of Michael Jackson = 3 Number of Beatles…

Q: our cards are dealt from a standard deck of 52 cards. How many ways can you be dealt three aces and…

A: Four cards are dealt from a standard deck of 52 cards. There are 4 cards of aces in the deck. There…

Q: There are 34 students in a high school senior class. In how many ways could the yearbook choose the…

A:

Q: There are fifteen children in the gym class who​ haven't yet been picked to be team leaders. If you…

A: The objective of this question is to find out the number of ways in which four children can be…

Q: In a hand of poker, 5 cards are dealt from a regular deck of 52 playing cards. How many different…

A: Given,Total no.of cards=52no.of club cards=13no.of hearts=13

Q: Assume that a grade of A,B,C,D, or F is assigned to each of 9 students. In how many ways can grades…

A: From the provided information, The grades are A, B, C, D or F Total students = 9

Q: For this problem, assume that 13 exhibits entered the science fair, and that we want to assign 3…

A: The number of exhibits entered the science fair is 13. The number of prizes that are to be assigned…

Q: How many ways are there to select 47 cards from a standard deck of 52 cards?

A: To find: The number of ways to select 47 cards from a standard deck of 52 cards. Concept used: The…

Q: How many different arrangements can be made using all the letters in CALGARY, if the first letter…

A: CALGARY If the first letter must be G.  Then, Starting with G, need to arrange the remaining 6…

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.