At the dog park, there are several dogs with their owners. Counting heads, there are 12; counting legs, there 38. How many dogs and owners are there?

Q: In the recent PIIE webinar attended by 100 people, there are 30 Filipino women and 23 Filipino men.…

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Q: The organizer of a conference is selecting workshops to include. She will select from 8 workshops…

A: We have given that  She will select from 8 workshops about music and 8 about poetry.

Q: A group of 12 people are going to run a race. The top 6 finishers are going to advance to the next…

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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: passes through (–2, –1), slope = 4

A: given point  (–2, –1), slope = 4

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

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Q: There

A: Please refer to the image below

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: A ice cream store offers 7 ice cream flavors and 12 toppings. If you want to eat 3 different ice…

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Q: race with 28 entries awards prizes to the three fastest (first through third place). How many…

A: Number of prizes = 3

Q: A couple wants to plant some shrubs around a circular walkway. They have seven different shrubs. How…

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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: 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 mother duck lines her 13 ducklings up behind her. In how many ways can the ducklings line up?

A: The objective of this question is to find out the number of ways in which the 13 ducklings can line…

Q: Charmaine asked 8 students how many courses they have taking so far at her college. Here is the list…

A: Solution: The given data is 13, 20, 8, 17, 22, 4, 15 and 18.

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: have 7 cats and take away 3 how many would i have left

A: Given : Total number of cats = 7

Q: In a group of 65 people, 40 like cricket, 10 like both cricket and tennis. How many like tennis only…

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Q: The president has a team of 20 trusted bodyguards. In how many ways can the president choose 5…

A: Given,  The president has a team of 20 trusted bodyguards  We have to find the number of ways of…

Q: There are 15 children in soccer training squad. A team consist of 11 players. If two children can…

A: Given: 15 children To find: Solution

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: A mother duck lines her 7 ducklings up behind her. In how many ways can the ducklings line up?

A: The objective of this question is to find out the number of ways the 7 ducklings can line up behind…

Q: How many outfits can be made with three tops, nine pants, and two jackets?

A: There are 3 tops, 9 pants and 2 jackets. Now, to choose 1 dress  from 3 tops and 9 pants, there are…

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

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Q: James is in charge of planning a reception for 1800 people. Predict the number of people who…

A: Total = 32+25+46+65 = 168

Q: There are 24 students playing basketball at lunch. How many different three-person teams can be…

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Q: The manager of the winning soccer team chooses three of the 20 members to be interviewed by a sports…

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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: An ice cream shop has 15 flavors. You also have the choice of a sugar cone, waffle cone or cup. If a…

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