marching band consists of 11 pipers and 12 drummers.  Three of them are selected to march in order in a scaled-down socially-distanced New Year parade.  How many different possibilities are there if the selected trio must include at least one drummer?

Q: A store is hiring 5 new stockers for their evening shift. 10 equally qualified students apply for…

A: Here we using the formula: The number of ways to select p people from a total of n people is:

Q: There are eight performers who will present their comedy acts this weekend at a comedy club. How…

A: Arranging n items is found by n! ways...

Q: When you buy a one-dollar ticket for a state's lottery, you are trying to match 5 numbers drawn from…

A: Match 5 numbers from 45 numbers in any order without replacement to win. Total possible winning…

Q: There are 22 students in a fraternity. In how many ways can a committee of 6 students be selected?…

A: Given that Number of students=22 Number of students selected=6

Q: During a birthday party, how many ways can five guests, both parents, and the birthday celebrant be…

A: Follow the steps.

Q: There are 19 finalists in a singing competition. The top four singers receive prizes. How many ways…

A: There are 19 finalist in the singing competition. Top 4 singers receives prizes. The number of ways…

Q: Suppose you want to get a license plate. The license plate has to have 3 letters without repetition,…

A:

Q: Find P(A), given that P(A) 0.493.

A: Given,      P A=0.493

Q: A club with 29 members is to select a committee of five persons. In how many ways can this be done?

A: In a committee, we select the persons as a group. So the arrangement does not matter. So we will use…

Q: Assume that 15 exhibits entered the science fair, and that we want to assign 3 prizes: first,…

A:

Q: A student organization of 12 wants to select a president, a vice-president, and a treasurer. How…

A: A student organization of 12 wants to select a president, a vice president, and a treasurer.i.e.…

Q: There are 15 boys and 12 girls that try out for a chorus. The choir director will select 10 girls…

A:

Q: A student must answer 3 out of 5 essay questions on a test. In how many different ways can the…

A: A student must answer 3 out of 5 essay questions on a test. In how many different ways can the…

Q: There are 8 performers who are presenting their acts at a variety show. How many different ways to…

A: We can pick the first performer in 8 ways. Second in 7 ways. Third in 6 ways. Fourth in 5 ways.…

Q: There are 30 runners entered in this year’s Terre Haute Marathon race. How many different ways can…

A: Given: 30 runners have entered a Marathon race. Required: To find the number of different ways 30…

Q: At a ballroom dance lesson, the instructor chooses 3 men and 3 women to demonstrate a new pattern.…

A: There are 9 women and 7 men in the class, the instructor chooses 3 men and 3 women to demonstrate 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: There are 12 finalists in a singing competition. The top four singers receive prizes. How many ways…

A: There are 12 finalists in a singing competition. The top four singers receive prizes.

Q: The group of qualified candidates for five positions is made up of eight women and six men. How many…

A:

Q: How many ways are there to choose first, second, and third prizes in an art contest with 18 entries?

A: Introduction:According to the permutation rule, if r distinct items are to be chosen from n items…

Q: There are 14 finalists in a singing competition. The top six singers receive prizes. How many ways…

A: Given data: 14 = finalists  in singing competition Top six singers receives price. To find: How many…

Q: In a choir, there are 13 sopranos, 16 altos, and 6 basses. The director needs to select a group of…

A: Solution: From the given information, there are 13 sopranos, 16 altos and 6 basses. Here, a group of…

Q: A baseball team is having a walk-on tryout camp for players. Thirty-four players show up at camp,…

A: Number of players (n) = 34 Coaches choosing only (r) = 3 By using combination formula

Q: From a group of 36 people, a jury of 12 is selected. In how many different ways can a jury of 12…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: legislative committee consists of 5 Democrats and 6 Republicans. A delegation of 3 is to be selected…

A:

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

A:

Q: student organization of 40 wants needs three people to cover ticket sales at an event. How many…

A: Given n=40 x=3

Q: dance company has 10 dancers, from which 6 dancers will be selected to perform together. How many…

A: GIVEN DATA, a dance company has 10 dancers, from which 6 dancers will be selected to perform…

Q: A club with 25 members is selecting a committee of 6 people. In how many ways can this be done?

A: *concept:- use defination of Combination.

Q: Six local bands have volunteered to perform at a benefit concert, but there is enough time for only…

A: From the given information ,Total no.of bands performed = 6 We have to find the number of possible…