The 150 Grade 7 students participated in schools's Math Olympics. 64 students registered in Math trail, 78 students registeres in Amazing race and 28 students registered in both Math Trail and Amazing Race. How many students registered in Math Trail amd Amazing Race only?  Are the students who did not register in both events? how many?

Q: A senior inspector will inspect 10 rooms this week. (d) To have a fair representation, how many…

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Q: How many ways can 4 people be seated around a circular table with 4 identical chairs?

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Q: A 26-sided die is rolled 4 times. How many different outcomes are possible? ( don't hand writing…

A: A 26-sided die is rolled 4 times.

Q: The number of combinations of 3 items selected from 8 is 122. Select one: O True O False Give your…

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Q: There are 19 finalists in a singing competition. The top four singers receive prizes. How many ways…

A: There are 19 finalist in the singing competition. Top 4 singers receives prizes. The number of ways…

Q: There are 91 golfers in today’s golf tournament. How many ways can first, second, and third be…

A: The first can be picked in 91 ways  Second in 90 ways  Third in 89 ways

Q: There are 12 women running in a race. How many different ways   could first, second and third prize…

A: The first winner can occur in 12 ways, the second winner can occur in (12-1)=11 ways, the third…

Q: There are 100 students at a swim meet. Every 3rd finis in the race receives a medal. Every 5th…

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Q: 3,5,12,55,648?

A: If we see this pattern clearly we can see  3,5,12,55,648 3*5-3 = 12 5*12-5 = 55 12*55-12 = 648 So…

Q: How many ways are there to select three math help websites from a list that contains eleven…

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Q: Ms. Ling has 16 boys and 14 girls in her third-grade class. How many ways can she select 2 boys or 2…

A: Ms. Ling has 16 boys and 14 girls in her third-grade class. We want to find how many ways can she…

Q: There are 75 golfers in today’s golf tournament. How many ways can first, second, and third be…

A: Solution: From the given information, there are 75 golfers. Suppose there are n objects are arranged…

Q: License plates in a particular state display 2 letters followed by 5 numbers. How many different…

A: According to the provided data, license plates in a particular state display 2 letters followed by 5…

Q: A fish pond contains 129 tetras, 126 angelfish, 3 cory cats and 172 goldfish. What is the…

A: Given,no.of tetras fishes=129no.of  angel fishes=126no.of  cory cats fishes=3no.of  gold…

Q: There are 8 people at an office meeting. How many handshake

A: Formula: If there are n persons, The number of handshakes is, nn-12

Q: A workshop venue has 35 participants.Each participant shakes hands with each and every other…

A: There are total 35 participants present at the venue. So the 1st participant will shake hands with…

Q: A restaurant has a menu with 3 appetizers, 8 entrées, 4 desserts, and 3 drinks. How manyd ifferent…

A: 3 appetizers, 8 entrées, 4 desserts, 3 drinks.

Q: There are 30 runners entered in this year’s Terre Haute Marathon race. How many different ways can…

A: Given: 30 runners have entered a Marathon race. Required: To find the number of different ways 30…

Q: A coffee shop serves 14 different kinds of coffee drinks. How many ways can 5 different coffee…

A: The objective is to find the number of ways in which 5 different coffee drinks can be selected from…

Q: 99Find the number of ways to distribute 24 different color markers into 3 classrooms, if the…

A: Find the number of ways to distribute 24 different color markers into 3 classrooms, if the…

Q: here are 6 contestants in a singing contest grand final. How many ways can we choose a grand…

A: Given there are 6 contestants in a singing contest grand final.

Q: 14 children are going on a field trip and must be paired up (the buddy system). In how many ways can…

A: To find: In how many ways can the 14 kids be paired up with each other?

Q: Matraville Public School installs an intercom system. All 9 classrooms, a staffroom and the main…

A: Given: Matraville Public School has installed an intercom system. There are 9 classrooms, a…

Q: There are 12 different types of chocolate candy entered in a chocolate-candy-tasting-contest. How…

A: Given,Total number of chocolate candy, n = 12We need to find the number of ways are there to choose…

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: rticipate in a competition. Calculate how many different ways the first, second and third can be…

A: The fundamental counting principle says that if n ways are there to complete one thing, and m ways…

Q: A school group is deciding how to line up its 10 members for a photo. The president will go first.…

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Q: What is the next number in the pattern 4, 12, 36, 108, ? .

A: A sequence is a set of numbers that has a particular order or they obey a general form. The nth term…

Q: Among 146 subjects with positive test results, there are 29 false positive results.  Amoung 152…

A: From the information given, the table is,   Not use marijuana Positive result Use marijuana…

Q: A pizza restaurant has 11 toppings. How many different 4 topping pizzas could be made

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Q: An important amendment has to be passed in the assembly. 5 lawyers and 3 politicians have been taken…

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Q: 40 yellow balls and 40 blue balls are in a single bag. If 5 random balls would be selected,…

A: Given data: 40 yellow balls and 40 blue balls are in a single bag. If 5 random balls would be…

Q: In a survey of 96 pet owners, 68 said they own a dog, and 11 said they own a cat. 6 said they own…

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Q: A computer operator must select 3 jobs from 11 available jobs waiting to be completed. How many…

A: A combination is grouping or subset of items. Also it is the selection of items in which order does…