Find the number of different ways that 995 contestants can win different first, second and third prizes.

Q: You have 8 friends from your high school and 6 friends from the high school across town. How many…

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Q: When you buy a one-dollar ticket for a state's lottery, you are trying to match 5 numbers drawn from…

A: Match 5 numbers from 45 numbers in any order without replacement to win. Total possible winning…

Q: At a NASCAR racing event, how many different finishes among the first 5 places are possible if 30…

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Q: How many ways can 8 runners line up in a race

A: Draw the 8 lines and find the way that how many possible ways for 8 athletes on each place.

Q: There are 5 defective light bulbs in a bin containing 60 light bulbs. How many ways can you select…

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Q: How many different car number plates can be made if each is to display 3 letters followed by 3…

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Q: In a basketball tournament, 8 teams are participating to compete for the top 4 places that will…

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Q: How many different committees can be formed from 10 teachers and 30 students if the committee…

A: From the provided information, the total number of teachers = 10The total number of students = 30

Q: A literary magazine editor must choose 4 short stories for this month’s issue from 17 submissions.…

A: Combination: It is the process of selecting certain objects under certain conditions accordingly. In…

Q: A fast food restaurant advertises that it offers any combination of 8 condiments on a hamburger,…

A: The number is obtained as follows: The number of choosing none of the condiments on a hamburger:…

Q: nts in different ways.

A: We can select 6 different restaurant from 8 is =28 ways

Q: How many different committees can be formed from 9 teachers and 33 students if the committee…

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Q: Several states participate in Hot Lotto, a lottery that requires choosing 5 of the numbers 1-39 and…

A: It is given that lottery  requires choosing 5 of the numbers 1 to 39. Substitute n=39,r=5 in…

Q: A grocery store has 5 checkout counters and 8 clerks. How many different ways can the 8 clerks be…

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Q: There are 12 applicants for 4 scholarships for 4 different amounts: $100,000 and $80,000 and $60,000…

A: Total applicants = 12  For 4 scholarships for 4 different amounts  How many different groups of…

Q: How many ways can 3 sopranos and 5 altos be selected from 7 sopranos and 9 altos?

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Q: How many different committees can be formed from 7 teachers and 40 students if the committee…

A: Solution-: Given: Number of teachers =7, Number of students =40 We want to find how many different…

Q: On the first day of the Minnesota state fair 1 person enters through the gate in the first minute,2…

A: To find: The number of people enters through the gate in seventh minute. Given: The number of people…

Q: If there are 10 voters and 5 candidates, how many total points would there be in a Borda count?…

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Q: How many different committees can be formed from 12 teachers and 39 students if the committee…

A: No. of teachers=12no. of students=39committee should consist of 3 teaches and 2 students

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: SubWay offers 4 types of bread, 5 different meats, 8 toppings and 5 spreads. How many different…

A: Given: Types of bread = 4 Types of meats = 5 Types of toppings = 8 Types of spreads = 5 1 item is…

Q: A DJ is preparing a playlist of 21 songs. How many different ways can the DJ arrange the firstsix…

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Q: A secretary & a treasurer of a club are to be selected from 4 different members. How many ways can…

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Q: How many different committees can be formed from 8 teachers and 41 students if the committee…

A: It is needed to find the ways of forming different committees from 8 teachers and 41 students if the…

Q: How many ordered lists are there of seven items chosen from eight? ordered lists

A: Given n=8 r=7

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: Natasha is in a class of 30 students that selects 4 leaders. How many ways are there to select the 4…

A: Given that  Natasha is in a class of 30 students that selects 4 leaders.  To find Number of ways are…

Q: A candy manufacturers produces Halloween surprise bags by filling bags with 5 different surprises.…

A: It is given that a candy manufacturers produces Halloween surprise bags by filling bags with 5…

Q: How many matches are played in a badminton tournament of 27 players?

A: Sol

Q: How many committees of 10 people can be formed out of 29 people

A: Given that 10 people of committees can be formed out of 29 people

Q: How many ways can 3 bowlers be chosen to get a bye in the first round of a bowling tournament with…

A: We have given that Total number of bowlers(n) = 29 Number of bowlers to be chosen (r) = 3 Formula…

Q: How many ways can you shuffle 7 songs in a playlist

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A: Given graph

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…

Q: how many ways can you select 2 different flavours of ice-cream for a sundae if there are 16 flavours…

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