A group of eight people is composed of five men and three women. How many committees of three people can be formed, including exactly two men? How many sequences of heads and tails of length n contain at least 1 head?  Compare the results

Q: A coin is flipped ten times, resulting in either heads or tails on each flip. How many outcomes…

A: A coin is flipped ten times, resulting in either heads or tails on each flip. How many outcomes…

Q: There are 100 students at a swim meet. Every 3rd finis in the race receives a medal. Every 5th…

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Q: how many ways can five persons line up to get on a bus?

A: The number of persons is 5.

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: An ice cream store sells 25 flavors of ice cream. Determine the number of possible 7-dip sundaes.…

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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: Suppose that a class of 20 students is assigned to write an essay.       Suppose 3 essays are…

A: Total number of students = 20 Total number of groups of selecting 3 essays can be obtained as:

Q: A person tossed a coin 8 times. In how many ways can he get 5 tails?

A: Given information- We have given that a person tossed a coin 8 times. We have to find the number of…

Q: How many 7-member committees could you form from a set of 9 people?

A: There are total 9 people.  We have to select 7 people from them. Since we are forming a committee,…

Q: Every time you flip a coin 10 times, you get either a head or a tail. How many different results…

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Q: elected fr

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Q: A coin is flipped ten times, resulting in either heads or tails on each flip. How many outcomes…

A: A coin is flipped ten times resulting in either heads or tails on each flip  Then how many outcomes…

Q: A class has 10 students. How many ways can the class be grouped into 2 groups of equal size.

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Q: how many different ways can 15 runners finish in the first five places of a race?

A: It is given that n is 15 and r is 5.

Q: Ten people split up into five groups of two each.  In how many ways can this be done?

A: The number of combinations of r items from a group of n items where the order is not important is…

Q: A small company of 30 employees needs to choose 6 people to plan out their annual holiday party Each…

A: A small company of 30 employees needs to choose 6 people to plan out their annual holiday party.

Q: Tennis balls are randomly toss into one of five trays. Determine the number of balls needed to…

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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?

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

A: The number of ways in which n different objects can be arranged is given by n!, where…

Q: n how many different ways can we select a committee of a president, vice president , and a secretary…

A: Given,total no.of applicants=15