A shop sells roses in 3 colours (red, white, yellow) and orchids in 4 colours (white, purple, blue, yellow). How many different bouquets with 7 flowers are there? How many different bouquets with 7 flowers contain both varieties of flowers (roses and orchids)? How many different bouquets with 7 flowers do not contain roses and orchids of the same colour?

Q: If a "word" is any arrangement of 3 different letters, how many 3-letter "words" can be formed from…

A:

Q: How many different ways can a theatrical group select 2 musicals and 3 dramas from 11 musicals and 8…

A: Given,no.of musicals=11no.of dramas=8

Q: How many different ways can seven people sit in a row in the last four seats at the concert?( the…

A: There is total 7 people and four seats.

Q: How many combination of 4 objects can be made from 6 objects, four of which are unique and 2 are…

A: It is given that  Total objects = 6 Unique objects = 4 Identical objects = 2

Q: How many different ways are there to select three dozen colored roses if red, yellow, pink, white,…

A: Solution-:Given: Available roses - red, yellow, pink, white, purple, and orange We want to find how…

Q: A bag contains 2 red marbles, 5 green ones, 1 lavender one, 5 yellows, and 3 orange marbles.  How…

A: Since we are making set, so the order will not matter.   If we select the lavender one, then we can…

Q: a family wants to adopt 2 cats and 3 dogs from a shelter that has 12 cats and 15 dogs. in how many…

A: The number of ways of selecting 2 cats from 12 cats is,

Q: how many ways can you arrange 4 objects from a set of 15 objects?

A: From the provided information, A set contains 15 objects from which 4 objects will be arranged.

Q: How many different committees can be formed from 9 teachers and 33 students if the committee…

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Q: Baseball teams have an active roster of 25 players, but only 9 players play in the field at once. Of…

A: The given data is as follows:The objective is to compute the number of ways in which one can choose…

Q: A committee of six people is chosen from eight women and seven men.  How many          different…

A: Solution: From the given information, there are 8 women and 7 men. Here, 6 people are chosen at…

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: There are 7 women and 8 men in a department.How many ways can this committee be selected if there…

A: To solve this problem, we need to find the number of ways to select a committee of 5 people from the…

Q: How many different ways can the golf pro at a golf club select a foursome consisting of 1 man and 3…

A: Given,   Number of males = 8 Number of females = 11   The objective is to find how many different…

Q: Ten children are to be divided into an A team and a B team of 5 each. A team will play in one league…

A: Given Information:   The total number of children, n=10 The number of children divided into the two…

Q: How many ways can 3 sopranos and 5 altos be selected from 7 sopranos and 9 altos?

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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: How many different committees can be formed from 7 teachers and 39 students if In how many ways can…

A:

Q: How many different committees can be formed from 12 teachers and 39 students if the committee…

A: No. of teachers=12no. of students=39committee should consist of 3 teaches and 2 students

Q: A card deck consists of 9 fire Pokemons and 11 ice Pokemons. How many ways can 7 cards be chosen…

A: The objective of the question is to find the number of ways to choose 7 cards from a deck of 20…

Q: How many different committees can be formed from 11 teachers and 42 students if In how many ways can…

A:

Q: How many different committees can be formed from 8 teachers and 41 students if the committee…

A: It is needed to find the ways of forming different committees from 8 teachers and 41 students if the…

Q: How many different committees can be formed from 7 teachers and 49 students if the committee…

A: From the provided information, There are 7 teachers and 49 students and the committee consists of 2…

Q: In how many ways can the committee of 7 members be selected? How many different committees can be…

A:

Q: In a​ bag, there are 6 purple and 12 green marbles. If you reach in and randomly choose 5 ​marbles,…

A: Given, there are 6 purple and 12 green marbles in a bag To find the number of ways to choose exactly…

Q: How many ways can 3 bowlers be chosen to get a bye in the first round of a bowling tournament with…

A: We have given that Total number of bowlers(n) = 29 Number of bowlers to be chosen (r) = 3 Formula…

Q: How many different committees can be formed from 7 women and 8 men if the committee consists of 5…

A: We can select 5 women from 7 women in 7C5=21 ways We can select 4 men from 8 men in 8C4=70 ways

Q: How many ways can 7 people fall in line if 2 persons doesn’t want to be seated next to each other?

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Q: In how many ways can you choose 3 kinds of ice cream and 2 toppings from a dessert buffet with 10…

A: Given that there are 10 kinds of ice cream and  6 kinds of toppings. We can choose 3 kinds of ice…

Q: law enforcement officers if each committee consists of 6 law enforcement o

A: Given: n = 9 r= 6