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

A:

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

A: Here we have to find the LCM.

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

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?

A:

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

A: