A shipment of 40 computers are unloaded from the van and tested. 6 of them are defective. In how many ways can we select a set of 5 computers and get at least one defective?

Q: A shipment of 50 calculators contains 3 that are defective. In how many ways can an inspector choose…

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Q: Twenty batteries have been sitting in a drawer for 2 yr. There are 4 dead batteries among the 20. If…

A: Now, since there are 4 dead batteries of which only 3 are to be chosen, a combination is used to…

Q: A box contains 9 red, 8 blue, and 13 green balls of the same size. How many balls, do we need to…

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Q: If 10 people are qualified for the next flight of a new space vehicle , how many different groups of…

A: Number of different ways to choose r number of people from a given set of n people is given by…

Q: If you toss 10 fair coins,in how many ways can you obtain at least one head?

A: Given: 10 fair coins are tossed. We want to calculate the number of ways in which we can obtain at…

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

A: The number of persons is 5.

Q: There are nine different marbles in a bag. A student reaches in and randomly draws one marble at a…

A: Given there are nine different marbles in a bag. A student reaches in and randomly draws one marble…

Q: In a basketball league consisting of 10 teams, each team plays each of the other teams exactly three…

A: 2 teams to be played out of 10 teams can be selected as follows:

Q: Find the number of ways in which we can select a team of 6 players from a class of 12 people.

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Q: A business has hired 12 new employees and must assign 8 to the day shift and 4 to the night shift.…

A: We have given that  A business has hired 12 new employees and must assign 8 to the day shift and 4…

Q: In a bucket there are 5 purple, 15 gray and 25 green balls. If the ball is picked up randomly, how…

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Q: In a bag containing 5 white balls and 6 black balls, how many ways can we draw a white or a black…

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Q: Find the number of permutations of the letters j, k, l, m, n, o and p taken 4 at a time

A: The given letters are j, k, l, m, n, o and p. 4 letters are taken at a time.

Q: A family has 4 children.  How many different boy/girl orders are possible?

A: When a family has a child there are two possibilities either a boy or a girl.

Q: A School's working day is divided into six periods. How many different ways may five subjects be…

A: From the provided information,   5 subjects can be arranged in a 6 periods in P56 ways. Any of 5…

Q: A club of 136 members is in the process of choosing a president, a vice presider secretary, and a…

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Q: How many ways can a teacher choose 3 out of 8 students for a field trip?

A: Need to find the number of ways a teacher choose 3 out of 8 students for a field trip.Choosing r…

Q: Suppose you have 11 books and you randomly pick 4 to take on vacation with you. How many ways can…

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Q: Suppose that the number of students in a class increase by 2, the number of ways they may be…

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Q: A sock drawer contains 3 black socks, 4 blue socks, and 7 brown socks. If you pick socks from the…

A: Since you have posted a multiple question ,I will solve the first question  for you. To get…

Q: Suppose that the number of students in a class increase by 2, the number of ways they may be…

A: Here take n= No of students in a class Now after addition no of students in a class= n+2

Q: In a​ bag, there are 6 purple and 12 green marbles. If you reach in and randomly choose 5 ​marbles,…

A: Given, there are 6 purple and 12 green marbles in a bag To find the number of ways to choose exactly…

Q: The annual National No Spying Day is celebrated at KAOS headquarters this year. There are 11 Control…

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Q: In a shipment of  62 vials, only 14 do not have hairline cracks. If you randomly select 3 vials from…

A: The number of vials is 62. The number of vials selected randomly is 3.

Q: an automobile that was tested for production defects, but assume that the number of production…

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Q: A cargo ship unloaded a shipment of 12 photocopy machines that contains 3 defective units. In how…

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Q: How many different baseball bating line ups are possible if the coach wants to put one of the three…

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Q: A man has 4 shirts, 4 pairs of trousers, 3 pairs of socks and 2 pairs of shoes. How many different…

A: Given Number of shirts = 4 Number of trousers = 4 Number of pair of socks = 3 Number of pair of…

Q: A teacher will randomly award three students with extra credit. How many possible ways can the…

A: Given that  , a teacher will randomly award three students with extra credit .  Teacher can pick…

Q: From a club of 19 ​people, in how many ways can a group of four members be selected to attend a​…

A: The objective of this question is to find out the number of ways a group of four members can be…

Q: If 15 TVs are pulled from an assembly line and 2 fail, how many would be expected to fail when 1,500…

A: In this case, 15 TVs are pulled from an assembly line.

Q: Suppose you have 11 books and you randomly pick 3 to take on vacation with you. How many ways can…

A: To count the number of possible selections

Q: From a group of 17 smokers and 23 ​nonsmokers a researcher wants to randomly select 6 smokers…

A: We have to find no. Of ways to select people.