Three members of a jury will be randomly selected from five people. How many different combinations are possible?

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: A committee of 2 people is selected at random from 5 doctors:Alam, Bartolini, Chinn, Dickson, and…

A: The total number of outcomes is 5. a. The total number of favourable outcomes so that Chinn is on…

Q: There is money to send three of seven city council members to a conference in Honolulu. All want to…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: There are 4 quarters and 2 dimes and 1 nickel in a coin pouch. Two coins are selected at random. If…

A:

Q: A keyboard has 7 keys: letters A-G. Suppose that a melody is created by playing four random keys.…

A: the 7th key can not be E,F,G. Hence for the 7th key we are left with only 4 choices.

Q: Joe has 6 favorite baseball teams, and he put their flags on his flagpole in random order. How many…

A:

Q: A group of military officers is composed of 6 Army Officers,  7 Navy Officers, and  8 Air Force…

A: Given that the group of military officers is composed of 6 Army Officers,  7 Navy Officers, and  8…

Q: In the Summer Olympics, there were eight runners in the final of the men's 100 meter dash. How many…

A: There are 8 possible runners who could win the gold medal in the first-place finish. After the gold…

Q: Four members from a 14 members committee are to be randomly selected to serve as a Chair, a…

A: The number of members is 14.

Q: If there are 9 acts in the talent show, how many different orders of performance are possible if…

A: Given that there are 9 acts in the talent show to perform.

Q: Two coins are randomly drawn from a coin pouch. If there are 4 dimes, 2 nickels, and a quarter, how…

A: Two coins are randomly drawn out from  a coin pouch . In a pouch we have given that there are 4…

Q: How would I solve the following problem: Of five letters (A, B, C, D, and E), two letters are to be…

A: Ans#- Given,           Five letters (A, B, C, D, and E), two letters              are to be selected…

Q: A woman owns 18 shirts, 10 skirts, and 14 pairs of shoes. She will randomly select 1 shirt, 1 skirt,…

A: Provided data is, woman owns 18 shirts, 10 skirts, and 14 pairs of shoes. She will randomly select 1…

Q: A student must answer 3 out of 5 essay questions on a test. In how many different ways can the…

A: A student must answer 3 out of 5 essay questions on a test. In how many different ways can the…

Q: Two hundred people each purchased one raffle ticket. Three winning tickets are randomly selected. If…

A:

Q: One hundred twenty-five people each purchased one raffle ticket. Three winning tickets are randomly…

A:

Q: In a box there are: 11 red books, 7 white books and 4 blue books. Five books are randomly selected.…

A: From the above data  We are given that  11 red books, 7 white books and 4 blue book

Q: A paper bag contains three green,four brown and five yellow beads. To win a game, Zoe needs to draw…

A: Given, a paper bag contains 3 green, 4 brown and 5 yellow beads. so we have a total of 12 beads…

Q: There are 25 students in a science class. Twenty percent of the students are randomly chosen to…

A: Solution :  There are 25 students in a class.  Twenty percent of the students are randomly chosen…

Q: Joe has 6 favorite baseball teams, and he puts their flags on his flagpole in random order. How many…

A: Solution

Q: From a group of seven people, two individuals are to be selected at random. How many selection are…

A: A group of seven people. Two individuals are to be selected at random.

Q: 8 people stand in line at a movie theater. Into how many different orders can they be arranged? 40…

A: 1. Number of people standing in a line = 8 If the people are arranged in a line at a movie theater,…

Q: An environmental agency is analyzing water samples from 79 lakes for pollution.  Five of the lakes…

A:

Q: Ten jokes are listed in a magazine.   If the fourth joke from the magazine is​ excluded, in how…

A: There are 10 jokes listed in a magazine.Here 4th joke is excluded than find the number of ways…

Q: A group of military officers is composed of 6 Army Officers, 7 Navy Officers, and 8 Air Force…

A: The group of military officers is composed of 6 Army Officers, 7 Navy Officers, and 8 Air Force…

Q: There is money to send three of nine city council members to a conference in Honolulu. All want to…

A: Combination: The number of different selections of ‘r’ elements (order doesn’t matter) from a set of…

Q: There are 12 students in a high school senior class. In how many ways could the yearbook choose one…

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

Q: There is money to send four of nine city council members to a conference in Honolulu. All want to…

A: Combinations: The number of combinations of r items selected from n items is, nr=n!n-r! There…

Q: There is money to send four of seven student council members on a trip to Washington DC. All want to…

A: Given Information: Number of members = 7  Number of members to be send for trip = 4

Q: marching band consists of 11 pipers and 12 drummers.  Three of them are selected to march in order…

A: The formula for Permutation is nPr = n!/(n – r)!. Explanation: Consider that r items need to be…

Q: A baseball team has 13   players. How many 9​-player batting orders are​ possible?

A:

Q: In a lottery game, a player picks 8 numbers from 1 to 49. How many different choices does the player…

A: From the provided information,The player has to pick 8 numbers from 1 to 49.

Q: There are 20 members of a club.  The club is going to select a president, vice president, and…

A: Given: 20 members in a club.