There are four Olympians, Anne, Babaganoush, Carol, and David on the Canadian bobsledding team. As shown in the picture, all four members are needed to race at the same time. Only Babaganoush and Carol are qualified to be in the 1st position. Any member can fill the rest of the spots.   a.Determine the number of possible arrangements of the team

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

A:

Q: there are 6 men and 7 women in the math club. a committee is to be formed consisting of 3 men and 4…

A:

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: The IU East van that has a seating capacity of seven is to be used by seven athletes to get to the…

A: Given that, The IU East van that has a seating capacity of seven is to be used by seven athletes to…

Q: 150 grade twelve students were asked which of the following 3 TV programs they watch regularly. 102…

A:

Q: The Diaz family is selecting a furniture set. A furniture set has a bed, a desk and a dresser. There…

A: The objective of this question is to find out the total number of different furniture sets the Diaz…

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

A:

Q: A class consists of 12 students ​(six boys and six ​girls) and one teacher. In how many ways can the…

A: Here there is a class consists of 12 students where there is 6 boys and 6 girls and 1 teacher We…

Q: Find the mode of the following number of stingrays spotted by each person during a snorkeling trip.…

A: Given data values: 11,5,7,5,11,1,7,4,1,7,7 The value 11 is repeated 2 times. The value 5 is repeated…

Q: On Halloween, a cartoon character, a bumble bee, a viking, a forest ranger, and a butterfly ring the…

A: here 6 people are in line and come one by one.  here order os selection matters  so this is case of…

Q: a law firm has 8 male and 6 females lwayers. a committee of 5, two male lawyers and 3 female…

A: The objective of this question is to find out the number of possible committees that can be formed…

Q: How many committees are possible if the committee must have a least two men?

A: Concept:   The number of ways of achieving success that is the total number of possible outcomes is…

Q: Renae, Nexael, Braden, Lovely, and Vanessa are attending a play and want to sit together in a row.…

A:

Q: A designer has designed different tops, pants, and jackets to create outfits. How many different…

A: Given six tops, five pants, two jackets

Q: Jana has 10 blouses, 5 pairs of shoes, 5 skirts,and 5 hats. How many distinct 'outfits' does she…

A: No.of blouses=10 no.of pairs of shoes=5 no.of skirts=5 no.of hats=5

Q: After the tryouts for the volleyball team, the coach selects 14 people to join the team. Due to a…

A: To determine the number of ways the coach can choose 7 people out of 14, we use the combinations…

Q: A member of the Student Council decided to conduct a room visit and asked the students for their…

A: Let D=the students joined  the Debat clubC=the students signed up for the cooking clubGiven ,no.of…

Q: There are 9 different types of dressing at a store. How many different orders can the stocke place 5…

A:

Q: The finals for the 100-meter sprint at the Olympics has 5 runners. In how many ways can they place…

A: In 60 ways they place first , second , third .

Q: A class of 15 students will chose between style of course text book; one text for each student. The…

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Q: A boy owns 5 pairs of pants, 7 shirts, 3 ties, and 3 jackets. How many different outfits can he wear…

A: Given that  A boy owns  5 Pairs of pants 7 shirts 3 ties 3 jackets

Q: If a bag contains 4 blue marbles 6 red marbles and 9 green marbles then the number of ways that 3…

A: From the information, given thatThe total number of blue marbles=4The total number of red marbles =…

Q: Assume that the camper has 5 jackets, 3 sleeping bags, and 14 different packages of food. An outfit…

A: Combination is the way of selecting a units from a set without considering position of order. The…

Q: How many possible formations of the posts are there?

A: Jack, Anny and Bella were elected as Executive Officers in their organization. They will be…

Q: A new-custom made sweater is made by choosing the color, the material, whether or not the sweater…

A: It is given that there are 7 colors available and 3 type of materials available.

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.