A teacher gives a multiple-choice quiz that has 3 questions, each with four possible answers: a, b, c, d. What is the minimum number of students that must be in the class to guarantee that at least 2 answer sheets will be identical?

Q: The University of Montana ski team has twelve entrants in a men's downhill ski event. The coach…

A: There are 12 entrants in a ski event and from these entrants first, second and third places to go to…

Q: The University of Montana ski team has eleven entrants in a men's downhill ski event. The coach…

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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: 150 grade twelve students were asked which of the following 3 TV programs they watch regularly. 102…

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Q: teacher assigned 35 questions in a test and said that 15 of them will be graded. How many different…

A: A teacher assigned 35 questions in a test and said 15 of them will be graded. The method of…

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: If Tim has 6 apples in each bag and he has 12 bags each, how many apples does he have all together?

A: Use unitary method.

Q: Mr. H has a collection of 500 vessels. In how many ways can he name his favorite and second favorite…

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Q: A group of friends have met at the park to socialize and play a game. Juan and Mary have been chosen…

A: There is group of 21 friends. Out of which Juan and Mary have been chosen as team captains.  Hence,…

Q: The Wycoffs are planning their next family night. They always have dinner out somewhere and then do…

A: The answer is attached below,

Q: How many outcomes are possible on a quiz with three true/false questions?

A: To determine the number of outcomes that are possible on a quiz with three true/false questions.

Q: At Baskin Robbins customers may choose from 32 flavors of ice cream, 7 toppings, and 4 different…

A: We know the formula for combinations is                                 nCr= n!r!(n-r)! Given, at…

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

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Q: ario painted identification letters on his bicycles so that he could track which ones are being used…

A: Since every cycle is coded with three letters of English alphabets, which starts with alphabet M.…

Q: Jana has 10 blouses, 5 pairs of shoes, 5 skirts,and 5 hats. How many distinct 'outfits' does she…

A: No.of blouses=10 no.of pairs of shoes=5 no.of skirts=5 no.of hats=5

Q: Find the number of different ways that an instructor can choose 7 students from a class of 12…

A: Here we have to find the number of different ways that an instructor can choose 7 students from a…

Q: A group of campers is going to occupy 3 campsites at a campground. There are 15 campsites from which…

A: The objective of this question is to find out the number of ways in which 3 campsites can be chosen…

Q: A member of the Student Council decided to conduct a room visit and asked the students for their…

A: Let D=the students joined  the Debat clubC=the students signed up for the cooking clubGiven ,no.of…

Q: The newest cars have 12 different accessories and the buyer pays for each one separately.  If a…

A: Given, The newest cars have 12 different accessories A buyer wants to buy four accessories

Q: A teacher decided to buy breakfast for her students while welcoming them during the first day of…

A: Inclusion exclusion principle Let A, B be two events then the number of ways to get either A or B'…

Q: Find the number of different ways that an instructor can choose 5 students from a class of 13…

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Q: A class of 15 students will chose between style of course text book; one text for each student. The…

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Q: For a class activity, a teacher put students into teams of 5. The teams were made up of 2 students…

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