A bag contains three red marbles, six green ones, one lavender one, two yellows, and three orange marbles. How many sets of three marbles include all the yellow ones? sets

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

A:

Q: How many license plates can we have of three digits followed by three letters? We allow repeated…

A: Since, there are 10 possible digits for the numbers (0 to 9), and 26 possible letters (A to Z). As,…

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: 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: A combination has 4 characters.  There are 2 letters and 2 numbers.  The numbers must be 0-9.  how…

A: Given : There are combinations of 4 characters. There are 2 letters and 2 numbers.

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: How many license plates consisting of three letters followed by three digits contain no letter or…

A: Here we have to find  out the combination of licence plate where repetition  of  letters and digits…

Q: In an apartment complex, there are 5 windows in each apartment, and 9 apartments in each floor. How…

A: Given In an apartment complex, there are 5 windows in each apartment, and 9 apartments in each…

Q: A basketball team contains 21 players. If 5 people can be on the court at one time, how many…

A: Given that Number of players (n)=21  Number of people on the court at one time  r=5  We have to find…

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: A pizza parlor offeres three cheese, two different sauces, and ten different toppings. How many…

A: From the provided information, There are three cheese, two different sauces and ten different…

Q: A restaurant offers a​ $12 dinner special that has 4 choices for an​ appetizer, 12 choices for an​…

A: The problem is asking us to find the total number of different meals that can be made from the given…

Q: A man has 3 different pairs of shoes, 8 different pairs of socks, 4 different pairs of slacks, and 2…

A: We have given that 3 different pairs of shoes 8 different pairs of socks  4 different pairs of…

Q: During the bird flu, if 40 hens and 30 chicks died each day, there would still be 212 hens when all…

A:

Q: The Diaz family is selecting a furniture set. A furniture set has a bed, a desk and a dresser. There…

A: The objective of this question is to find out the total number of different furniture sets the Diaz…

Q: A farmer raises 65 animals on her farm. Some are pigs and some are chickens. If they have 180 legs…

A:

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

A:

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: A bag contains 4 red marbles, 3 green ones, 1 lavender one, 3 yellows, and 2 orange marbles. How…

A: Since it is set so order does not matter. we will use combination method At least three means 3 or 4…

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

A:

Q: How many committees are possible if the committee must have a least two men?

A: Concept:   The number of ways of achieving success that is the total number of possible outcomes is…