A girl owns 6 pairs of pants, 7 shirts, 6 ties, and 2 jackets. How many different outfits can the girl wear to school if each outfit must consist of one of each item?

Q: A bag contains 3 lemon, 2 cherry, and 6 grape candies. A handful of 4 candies is grabbed from the…

A: At most 1 grape candy means 0 or 1 grape candy. There are 6 grape candies and (3+2)=5 non-grape…

Q: A class with 30 students has ten men and nine seniors, and five of the men are seniors. How many…

A: The total number of students is n = 30.

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

A:

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: There are 11 teams in a league. How many games are played if every team plays each other twice?

A: Suppose there are n teams. Also suppose that all the teams play every other team twice. Then the…

Q: Dan, Norie, Tobi and Anna are members of the same family. Dan is 2 years older then Anna, who is 21…

A:

Q: Your little cousin will have a big animal-themed birthday party and you will help with goody bags.…

A:

Q: A basket ball team has 5 guards, 7 forwards, and 3 centers.  How many ways are there to have a…

A: A basket ball team has 5 guards, 7 forwards, and 3 centers. How many ways are there to have a lineup…

Q: There

A: Please refer to the image below

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: This year, I am the adviser of a 42-member local chapter of the National Mathematics Honor Society.…

A: topic - permutation and combinatation

Q: Boris must choose a shirt and a pair of pants for today's outfit. He has  3  shirts and  3  pairs…

A:

Q: At a certain French restaurant, a multi-course meal is offered, where patrons can choose from…

A:

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: If John has 2 sweets and he give Mary 1 sweet . How many sweets are left for John

A:

Q: Liza is a basketball coach and must select 5 players out of 12 players to start a game. In how many…

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: A man owns 8 pairs of pants, 15 shirts, 12 ties, and 3 jackets. How many different outfits can he…

A: Given he has 8 pairs of pants, 15 shirts, 12 ties, and 3 jackets

Q: There are 10 students that are a part of a chess club. 2 kids can play a game of chess at once. How…

A: Ans -:  There are 10 students that are a part of a chess club. 2 kids can play a game of chess at…

Q: You and 3 friends are moving into a new apartment-style dorm. The dorm has 3 bedrooms, one with two…

A: There are totally 4 members. These 4 members must be arranged in 3 bed rooms. One bedroom has two…

Q: A boy owns 7 pairs of pants, 2 shirts, 20 ties, and 7 jackets.  How many different outfits can he…

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: A person has 3 shirts, 2 pants and 5 shoes. How many combinations can be made?

A: GivenA person has no.of shirts=3No.of pants=2No.of shoes=5

Q: Each marble bag sold by Deshaun's Marble Company contains 5 orange marbles for every 6 green…

A:

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: Jessica knows that her glove drawer contains 12 green gloves, 10 purple gloves, 8 white gloves, and…

A: Given Information: No. of gloves=36Green gloves=12Purple gloves=10White gloves=8Red gloves=6

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.