From a total of 9 houses, 3 were of red paint, 2 of green paint and 4 of yellow paint. Determine the number of possible arrangements of assigning these 9 houses to 9 different families.

Q: A senior inspector will inspect 10 rooms this week. (d) To have a fair representation, how many…

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Q: Ms. Ling has 16 boys and 14 girls in her third-grade class. How many ways can she select 2 boys or 2…

A: Ms. Ling has 16 boys and 14 girls in her third-grade class. We want to find how many ways can she…

Q: There are 23 different toy action figures in a toy box. How many possible ways are there for Justin…

A: Solution: Combinations: Suppose there are n objects and r objects to be chosen. Then, combination…

Q: in a volleyball club there are 5 senior players and 5 junior players. If the team captain election…

A: Total number of players = 10 Total number of players in volleyball team = 6   Number of ways in…

Q: A grocery store has 5 checkout counters and 8 clerks. How many different ways can the 8 clerks be…

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Q: The table d'hote (complete meal) at a french restaurant consists of a salad, enree, and a dessert.…

A: There are 2 salad choices, 5 entrée choices, and 3 dessert choices.

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: Find the number of different ways that an instructor can choose 4 students from a class of 31

A: There are 31 students in a class room, out of 31 students 4 students can be chosen in 31C4 ways

Q: A staff car park at a university has 13 parking spaces in a row. There are 9 cars to be parked.…

A: Permutation and combination used to calculate the number of possible ways to arrange or select a…

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: Find the distinct number of arrangements of the letters in the word “academia” that begin and end in…

A: letters of word academia we have to arrange letters so that it begin and end with a.

Q: The president has a team of 20 trusted bodyguards. In how many ways can the president choose 5…

A: Given,  The president has a team of 20 trusted bodyguards  We have to find the number of ways of…

Q: From the 9 male and 6 female sales representatives for an insurance​ company, a team of 4 men and 3…

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Q: Mrs. Stevens wants to put her class of 26 students into groups of 5 for an upcoming project How many…

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Q: A mother duck lines her 7 ducklings up behind her. In how many ways can the ducklings line up?

A: The objective of this question is to find out the number of ways the 7 ducklings can line up behind…

Q: Find the number of different ways that 995 contestants can win different first, second and third…

A: Given information- We have given that there are 995 contestants. We have to find the number of…

Q: There are 10 teachers and 12 students willing to serve on a committee to improve technology at their…

A:

Q: A poker hand consists of five cards from a deck of 52.  Order does not matter.  In how many ways can…

A: A poker hand consists of five cards from a deck of 52.   Order does not matter i.e. combination is…

Q: Find the number of playing cards in a standard deck of 52 cards that are either tens or red cards…

A: Find the number of playing cards in a standard deck of 52 cards that are either tens or red cards…

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

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