Suppose that 10 countries submit bids for the summer Olympics. The Olympic committee will select 4 finalists out of these 10 countries. In how many ways can the Olympic committee pick these 10 finalists?

Q: The marks obtain by 9 students in a test are 25,20,15,45,18, 7, 16, 28, and 12. Find Q1, Q2, Q3 and…

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Q: Among 10 students , 4 of them will be selected for a project .in how many ways can they be selectes

A: In question, We have given that among 10 students , 4 of them will be selected for a project. The…

Q: A new committee is to be made from the 8 members of city council. Each member can choose to be on…

A: We have to find nom of committee possible.

Q: A contest consists of finding code words that can be formed from the letters “MEEST”. Assume that…

A: Given word MEEST, Letters = {M,E,E,S,T} Since the letter E is repeated twice then number of words…

Q: ssume that 8 women and 6 men work in a department at a large company. How many ways can a…

A: Combination formula : The number of ways to select r subject from n is determined by using following…

Q: Suppose it is known that a box of 24 light bulbs contains five defective bulbs. A customer randomly…

A: Given data ,Total no of light bulbs=24No of defective bulbs=5∴No of non-defective…

Q: A committee of 3 people is to be selected from 8 club members  find the number of committe that can…

A: Solution: From the given information, a committee of 3 people is to be selected from 8 club members.

Q: modus from 22,33,22,3,211,22,55,66,66,77,66,55,66,66,44

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Q: License plate tags in a particular state are to consist of 3 letters followed by 4 digits with…

A: License plate tags in a particular state are to consist of 3 letters followed by 4 digits with…

Q: Determine the number of ways of selecting one or more letters from the letters ZZzzzzZ?

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Q: Any possible arrangement of 8 letters is considered a word.  The letters are taken from 21…

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Q: how to find the least common mulitpe of 20,8, and is 4

A: Here we have to find the LCM.

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: 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: Suppose that there are 9 female and 12 male students in a classroom. How many different 5-member…

A: According to the provided information, number of female students = 9 number of male students = 12…

Q: How many committees of two or more can be selected from 10 people? A 21⁰-10 B) 21⁰-12 21⁰-1 (D)…

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Q: Suppose 58 cars start at a car race. In how many ways can the top 3 cars finish the​ race?

A: We have to find no of  ways can the top 3 cars finish the​ race...

Q: A president and a treasurer are to be chosen from a student club consisting of 50 people. There are…

A: From the given information, there are 50 people. A president and treasurer are chosen from a student…

Q: A committee of 4 people is to be chosen from a group of 8 men and 7 women. How many different…

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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: Suppose that your friend owns 9 PlayStation games and you would like to borrow 4 of these games. In…

A: Permutation and combination used to calculate the number of possible ways to arrange or select a…

Q: How many different teams of 4 members can be selected from a pool of 20 applicants?

A: The combination formula is given by

Q: A biologist is attempt initials should he uSE

A: Givena biologist is attempting to classify 900 species of insects by assigning 2 initials to each…

Q: How many different 4-people committees can be chosen from 8 people?

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Q: If 8 boats enter a​ race, how many possibilities are there for the first through third place​…

A: The numbers of different possibilities are obtained below: The permutation formula is shown below.…

Q: A team of 8 softball players need to choose 3 players to refill the water cooler  Permutation…

A: Total number of softball players = 8 Number of players to refill the water cooler = 3

Q: A committee of 5 students are to be chosen from 25 CS majors and 15 Math majors. How many of these…

A: Exactly 3 CS major students can be selected from 25 CS major students in, 25C3 ways, i.e. 2300 ways.…

Q: A deli offers 6 different toppings. You are allowed 4 different toppings. In other words, you can't…

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