Twelve teachers are to be assigned to three schools. In how many ways can this be done if: a specific school (School 1) receives at least 2 teachers? each school receives exactly 4 teachers?

Q: Assume that the camper has 6 jackets, 3 sleeping bags, and 13 different packages of food. An outfit…

A: It is given that the number of jackets is 6, the number of sleeping bags is 3 and the number of…

Q: A person has 12 books: 4 mystery, 6 science fiction, and 2 romance. How many ways can the books be…

A: It is given that  Total books = 12 Mystery books = 4 Science fiction book = 6 Romance book = 2

Q: How many ways can a store manager arrange a group of 1 team leader and 3 team workers from his 25…

A: We have given that, from 25 employees we have to select 1 team leader and 3 team workers. First we…

Q: How many students went to have gone to spain and france but not germany?

A: The Venn diagram is ,How many students went to have gone to Spain and France but not Germany?

Q: Apple decided to give an apple watch to the first person in line, an iPhone to the second person in…

A: From the given information, Apple decided to give apple product to all three persons who stand up in…

Q: A child has 20 pieces of Halloween candy. They are as follows: 6 of them are chocolate bars, 9 are…

A: Combinations: The number of combinations of r items selected from n items is, nr=n!n-r!r! Selecting…

Q: The mathematics department at WCC has 19 full-time faculty members; 10 female faculty members and 9…

A: Determine the number of different committees formed with three females and 2 males.   The number of…

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

A: In the given equation there is 11 plain  wooden boats  and, 4 boats has been chosen for painting…

Q: Twenty batteries will be put on the display. The types of batteries are:  AAA, AA, C, D, and 9-volt.…

A: Given,  20 batteries will be put on the display. The types of batteries are:  AAA, AA, C, D, and…

Q: A group of Mathematics faculty at the local college consists of 10 women and 10 men. Five people are…

A: Given  No of men = 10 No of women = 10 We need to select 5 people

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

A:

Q: How many complete ensembles (outfits with one of each item) can Alicia wear if she has four shirts,…

A: Here,to determine the number of complete outfits Alicia can wear, we need to consider the…

Q: Lenny has 5 friends in his neighborhood. In how many ways can he choose 3 to help him move…

A: Lennh has friends = 5 Number of friend to be chosen = 3

Q: A clown owns 8 hat(s), 8 horn(s), 5 oufits. How many different outfits can the clown put together if…

A: Given that, A clown owns 8 hats, 8 horns, 5 outfits. We need to find the number of different outfits…

Q: A group of 30 people have been trained as astronauts to go on the first mission to Mars. How many…

A: Given that, The total number of people in the group is 30. And, a crew of six people to go on a…

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

A:

Q: A committee is to consist of three members. If there are six men and seven woman available to serve…

A: given, Number of men=6 Number of women =7 total number of men and women=6+7=13 A committee is to…

Q: In how many ways can Mrs. Smith give a chocolate bar, a bag of potato chips, and a can of cane juice…

A: Mrs. Smith give a chocolate bar , a bag of potato chips and can of cane juice to 3 of the 21…

Q: If there were to be 15 boys and 13 girls at a party and the host wanted each to be given exactly…

A:

Q: A police department in a small city consists of 10 officers. If the department policy is to have 5…

A: From the provided information, Total officers = 10 5 of the officers patrolling the streets, 2 of…