troupe of 8 dancers is going to line up on stage. Of these dancers, 4 are wearing blue and 4 are wearing white. A dancer wearing blue must be in the first position and they must alternate between colors. In how many ways can the dancers line up? 0 S ?

Q: Loyd finds 8 shirts in his size at a clearance sale. How many difference purchases could Loyd make?…

A: We know that: n! = nx (n-1) x (n-2) x (n-3) ........x 2 x 1 nCr = n! / r! (n-r)!

Q: Rafael has 5 pairs of pants and 10 pairs of shorts. How many possible ways can he choose what to…

A:

Q: For the grooms men, we had outfits picked out. We had 3 different dress shirts, 3 different styles…

A: Multiplication rule of counting:If a task consists of a sequence of choices in which there are ‘a’…

Q: There are 46 runners in this year's school 5k race. The school has purchased 10 awards to give out…

A: Given, There are 46 runners in this year's school 5k race. The school has purchased 10 awards to…

Q: The following day 5 drinks samples are add and customers are told that they can take 3 cake samples…

A: In these types of questions, the basic formula is of combinations. The required result, total…

Q: Find the number of ways in which at least one piece of fruit could be chosen from a basket…

A: It is given that  Apples = 4 Bananas = 5 Cantaloupes = 2 Pears = 3

Q: 7 At the basketball game last night, the home team was losing by 48 points at halftime, so fans…

A: Introduction: It is required to find the number of people left by the end of the game.

Q: Naia has 4 pairs of shoes (white, black, gray, maroon) and 3 bags (red, blue, green). In how many…

A: Given Naia has 4 pairs of shoes and 3 bags we have to find number of shoe-bag combination.

Q: There are 21 juniors and 29 seniors trying out for the basketball team. You need 14 students for the…

A:

Q: Mario needs to pick A daisies to make a bouquet. He has 8 dishes so far. He needs to pick 6 more…

A: Simple Addition

Q: John went to a pastry Shop in New York. He went to order 6 pastries and the store had 4 different…

A: Given: Types of pastries: E, F G and H.

Q: Ben is studying sculpting, and he was asked to submit 8 sculptures from his collection to exhibit at…

A: The objective of this question is to find out the number of ways Ben can choose 8 sculptures out of…

Q: You volunteer to help drive children at a charity event to the​ zoo, but you can fit only 7 of the…

A: The objective of this question is to find out how many different groups of 7 children can be formed…

Q: At a deli counter there are 7 sandwiches with meat and 6 vegetarian sandwiches. Carols is at the…

A:

Q: Marissa's cycle repair shop fixes normal bicycles and tricycles. Marissa had to assemble a number of…

A:

Q: There are 294 students in the senior class. Four of the students will be chosen to be the President,…

A: Given,Total no.of students=294

Q: The Art Department at AUM has three painting from Mike, five by Amy , and 3 by Jack.  In how many…

A:

Q: Mr. Jordan is traveling to Helsinki Finland with his Gibson Les Paul guitar for a competition during…

A: To find: How many different ways can he travel from Toronto to Helsinki.

Q: There are ten posts in a row in Jim's backyard. To decorate for a party, she strings paper between…

A: Follow the procedure given below.

Q: Angie is ordering breakfast in a restaurant. There are 10 types of eggs and 3 types of toast to…

A:

Q: Joe has a few choices for dinner or a hotdog taco or barbecue with fries or chips how many different…

A: Joe has a few choices for dinner or a hotdog taco or barbecue with fries or chips how many different…

Q: If bailey has 7 bananas and she got 2 more how Many does she have in total?

A: Given, Initially  bailey has 7 bananas  Then She got 2 more bananas We have to find the Total number…

Q: 72% of the students at Thomas Jefferson Middle School are attending the volleyball game. There are…

A: Given: total students in the school is 300 Now, if 72% students attend the volleyball game then…

Q: mr jackson has 60 flash cards she will arrange into 5 equal stacks. how many flash cards will be in…

A: mr jackson has 60 flash cards she will arrange into 5 equal stacks

Q: For a fishing trip, Yolanda is going to choose lures to put in her tackle box. She has 7 lures that…

A: It is given that 7 lures that are buzzbaits and 8 that are spinnerbaits.

Q: Jerry wants to know how many different outfits he can create. He has 6 pairs of pants and 5 shirts.…

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: Erin invited three couples to watch a theater musical sponsored by my husband. If the 6 VIP seats…

A: There are total three couples.

Q: Ms. Karen has 7 children in her preschool class. She would like to give each student an equal number…

A: Solution is given below:

Q: For a trip, eli packed 5 shirts, 3 pairs of pants, and 4 pairs of shoes. how many different outfits…

A:

Q: .A grocery store receive the package of 950 kiwis .some of the kiwis are arranged equally in 33…

A: The following information is given in the question:-  Total number of kiwis = 950Number of boxes =…

Q: Heidi has 4 necklaces and 6 pairs of earrings. In how many different ways can she select a necklace…

A:

Q: Ben has some apples. 9 are red apples. 7 are yellow apples. He gives all the yellow apples to Andy.…

A: Given number of red apples = 9 number of yellow apple = 7 Ben gives all the yellow apple to Andy Now…