A boy owns 6 pairs of pants, 7 shirts, 3 ties, and 1 jackets. How many different outfits can he wear to school if he must wear one of each item?

Q: Ethan owns 8 pairs of pants, 4 shirts, 4 ties, and 3 jackets. How many different outfits can he wear…

A: The above example is an example of a combination. we have to find different combinations of outfits.

Q: Of 20 possible books, you plan to take 9 with you on vacation. How many different collections of 9…

A:

Q: Sarah has to put an outfit on a mannequin every day at her job. if there are 5 shirts, 4 pants,  and…

A: Number of shirts= 5 Number of pants= 4 Number of hats= 8

Q: From the ten books that you’ve recently bought but not read, you plan to take four with you on…

A: From the ten books that you’ve recently bought but not read, you plan to take four with you on…

Q: leah and andi are purchasing photo albums of their wedding pictures as thank you gifts for their…

A: Given data, No of album sizes=3 No of Cover options=5 Types of pages=2 No of possible unique photo…

Q: He can wear ?  different outfits.

A: Juan owns 1 pairs of pants, 5 shirts, 4 ties, and 1 jackets.

Q: Charles has eight different winter scarves, and he wears three at a time. How many different ways…

A: Given that       Charles has eight different winter scarves and he wears three at a time  We have to…

Q: Of 13 possible​ books, you plan to take 4 with you on vacation. How many different collections of 4…

A: The objective of this question is to find out the number of different collections of 4 books that…

Q: There are 64 dogs and cats at the pet store. If one out of every 4 animals is a cat, how many dogs…

A: Given Data: The total number dogs and cats at the pet store is: N=64 Let, The number of cats is x.…

Q: You have 6 bracelets and 15 necklaces. find the number of ways you can wear one bracelet and one…

A:

Q: Jack Frosty is preparing himself for another potential snowstorm by setting out all of his warmest…

A: given  2 pairs of boots 3 winter hats 3 pairs of gloves 4 jackets He has 2C1*3C1*3C1*4C1 outfit…

Q: Natalie is trying to pick out an outfit for the first day of school. She can choose from 7 pairs of…

A:

Q: Cameron has five different pairs of shoes that match with six different pairs of socks. How many…

A: There are five different pairs of shoes that match with six different pairs of socks for Cameron.

Q: Your favorite pizza restaurant has 6 different meat toppings and 12 different vegetable toppings.…

A: It is given that there are 6 different meat toppings and 12 different vegetable toppings. Also, roof…

Q: Joey finds 13 video games that he would like to have. Three of them will run on his operating system…

A: Given: A total of 13 games are there. 10 will run on the operating system and 3 will not.

Q: Nevaeh is trying to pick out an outfit for the first day of school. She can choose from pairs of…

A: From the given information we find the number of pairs she can choose.

Q: Sally has 2 pairs of shoes, 9 pairs of pants, and 8 shirts. How many different outfits can she make…

A: Sally can make, 2×9×8 = 144 different outfits.    The detailed solution is as follows below:

Q: A high school principle plans to visit classrooms of 5 teachers in one day. If there are 32 teachers…

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)] / r!.…

Q: a card store received a shipment of 12 cartoons of sports cards . Each cartoon contains 20…

A:

Q: ferent ways could you schedule your free t

A: Given: Total number of hours, n = 7 hours Free time, r = 4   Use combination here, the formula is as…

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: Harry has 4 shirts and some number of pairs of pants in his closet. He has a total of 8 possible…

A:

Q: In your closet, you have 15 tops, 10 bottoms, and 8 pairs of shoes. How many ways can you dress…

A: Given Tops = 15 Bottom = 10 Shoes = 8

Q: Juliette has 348 pennies. If she wants to divide them into sets of 16, how many sets can she make?…

A: this is question of algebra here we have to find using simple divide and get value of that. further…

Q: A party room has a circular table with 12 seats. A group of 4 people enter the room. How many…

A: In a circular table with n seats,  there are (n-1)! ways ofoccupying the seats

Q: You are getting dressed for the day. You have 7 shirts, 4 pairs of pants and 3 shoes.

A:

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

A:

Q: A person owns three suits, three ties and ten shirts. How many ways can They select a traveling…

A: A person owns three suits, three ties and ten shirts. To find the number is ways of selection of two…

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.