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…

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Q: Twenty people decide to play softball. In how many ways can the 20 people be divided into 2 teams of…

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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: 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: 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 bag contains four red marbles, three green ones, one lavender one, three yellows, and one orange…

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Q: There are 24 wheels total among a group of wagons and bicycles.  How many bicycles are there? How…

A: Let the number of bicycles be B and the number of wagons be W. There are two wheels in a bicycle, so…

Q: A bag contains 5 red marbles, 3 blue marbles, and 1 green marble. Find P(not blue).

A: Given information- A bag contains a total of 9 marbles (5 red marbles, 3 blue marbles, and 1 green…

Q: In a local recreational soccer league there are 60 men and 252 women signed up to play. The…

A: We need to equally divide men and women and then find when number of team formed from both sides are…

Q: A restaurant offers a dinner special that lets you choose from 8 entrees, 7 side dishes, and 5…

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Q: The California license plate has one number followed by three letters followed by three numbers. How…

A: GivenCalifornia license plate has one number followed by three letters followedby three numbers…

Q: The Hickory Stick has a selection of 4 meats and 7 vegetables. How many different selections of one…

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Q: A dish contains 2 yellow, 4 red, 5 purple, 2 green, and 3 orange candies.  How many sets of 6…

A: A dish contains 2 yellow, 4 red, 5 purple, 2 green, and 3 orange candies.

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: the track team has 20 members and will be sending 5 members to the next competition. how many 5…

A: Combinations: The number of combinations of r items selected from n items is, nr=n!n-r!r! The track…

Q: There are 6 boys playing soccer. 3 boys go home. Then 1 more boy goes home. How many boys are there…

A: Given that there are 6 boys playing soccer, 3 boys go home then 1 more boy goes home. We have to…

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

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Q: A child has fewer than 300 baseball cards. If he puts them in piles of 3​, 4​, 6​, 15​, or 18 he has…

A: Let, the child has x baseball cards.  Then, according to the given problem,        x = 1 (mod 3)…

Q: There are 15 people eligible to receive 4 different awards.  The awards are in the amounts of $50,…

A: Given: There are 15 people eligible to receive 4 different awards. The awards are in the amounts of…

Q: A committee of six people is chosen from seven senators and ten representatives. How many committees…

A: Given,          Number of senators = 7          Number of representative = 10

Q: football team has 11 players on the field at a time. There are 20 total players on the roster. How…

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Q: An ice cream store stocks 30 different flavors and offers rainbow banana boat split that contains 3…

A: Given, An ice cream store stocks 30 different flavors  It offers rainbow banana boat split that…

Q: Suppose you have a choice of ten TV sets that can be matched with any of six DVR players and eight…

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

Q: A dish contains 2 yellow, 4 red, 5 purple, 2 green, and 3 orange candies.  How many sets of 7…

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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