.. Five girls and three boys should be seated in line so that there are no two boys sitting next to ch other. In how many ways can this be done?

Q: On Monday, Tom worked 2 hours and Sylvester worked 3 hours and they made a total of 23 mouse traps.…

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Q: 1) Arrange the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9 in the circles below so that the sum of the numbers…

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Q: 1. Find the number of ways that 7 lecturers in the CIE review be assigned to 3 classes if no…

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Q: Suppose you are to arrange 9 people on a line. If 5 specific people require to be following each…

A: Given,total no.of people=9

Q: 1. Draw a square. 2. Divide each of the square's straight lines into fourths. In a clockwise order:…

A: Explanation: Draw a square ABCD of all four sides equal and angle between the adjacent sides as 900.…

Q: For this problem, assume that you are to pick 4 cars from the motor pool, which contains 7…

A: It is given that: n1=n(Subcompact)=7 n2=n(Compact)=4 n3=n(Midsize)=6 Thus, the total number of cars…

Q: A team of 7 players is to be selected from a group of 13 people. In how many ways can this be done?

A: Given data  A team of 7 players is to be selected from group of 13 people No of ways can be this…

Q: . A hare is 150 paces ahead of a hound that is pursuing him. If the hound covers 10 paces each time…

A: A hare is 150 paces ahead of a hound that is pursuing him. If the hound covers 10 paces each time…

Q: For this problem, assume there are 9 adjacent seats in a row. How many different ways can 9 people…

A: 9! = 9*8*7*6*5*4*3*2*1 = 362880

Q: 1. A brick layer is currently building a wall. The 6th layer of the wall has 280 bricks and the 15th…

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Q: Six people attend the theater together and sit in a row with exactly six seats. Suppose the group…

A: Given,no.of men =3no.of women=3total no.of people=6

Q: There are 10 pairs of socks (each pair is different) in a drawer in a dark room. Since you cannot…

A: There are  pairs of socks (each pair is different) in a drawer in a dark room.

Q: a.without restriction b. if all girls must be seated next to each other c.2 particular people must…

A: here given,  total persons available are 10  arrange all 10 in row of 10 chair

Q: Suppose you are to seat three people (Anna, Beth and Charlie) in a row. In how many ways, can they…

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Q: 8) Will is a bass fisherman. He considers himself successful if he catches at least 700 lbs of bass…

A: Will is a bass fisherman. He considers himself successful if he catches at least 700 lbs of bass…

Q: Suppose I have 7 red tiles, 5 blue tiles, and 8 white tiles and I want to arrangethem in a line…

A: The tiles are to be arranged or positioned. So we need to use permutation here, since permutations…

Q: If n(A ∪ B) = 97 and n(A) = n(B) = 66 find n(A ∩ B).

A: Given, n(A ∪ B) = 97 and n(A) = n(B) = 66

Q: 5.) 5 WOMEN AND 6 MEN ARE STANDING IN A LINE. HOW MANY ARRANGEMENTS ARE POSSIBLE IF ANY INDIVIDUAL…

A: No of people = 5 women + 6 men = 11

Q: A camp counselor and four campers are to be seated along a picnic bench. In how many ways can this…

A: The objective of this question is to find the number of ways the camp counselor and four campers can…

Q: Six men and eight women are to line up for a picture with the six men in the middle. How many ways…

A: Given that  Six men and eight women are to line up for a picture with the six men in the middle  How…

Q: In how many ways can 5 men and 5 women be seated at a round table if each woman is to be  between…

A: We have round table and 5 men and 5 women be seated at round table if each women is to be between…

Q: 10. There are 11 women and 9 men in the math department. (a) How many ways can a committee of 4…

A: The combination rule of counting is used when the order of selection does not matter. So the number…

Q: Q5. In how many ways can 7 men and 10 women sit in a row if the seat numbers 1-7 are for the men the…

A: Number of ways to allocate 7 men in seats 1-7 will be: Number of ways = 7!…

Q: A camp counselor and six campers are to be seated along a picnic bench. In how many ways can this be…

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Q: Suppose that I have 250 pieces of candy, I randomly pick 15 of them from the bar and so over that 6…

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Q: In how many ways can four boys and five girls sit in a row if the boys and girls must sit…

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Q: Hi! I need a solution for this question: There are 4 yellow balls, 3 green balls, 3 red balls, and…

A: 4 yellow balls 3 green balls 3 red balls 2 blue balls __________________ 12 total balls   no. of…

Q: There are 5 boys and 5 girls at a party. In how many ways can they be seated in a row if they must…

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Q: how many ways can four doctors and three nurses be seated in a row if the doctors and nurses are to…

A: Given that :  D represent doctors .  N represents nurses.  Arrangement in which Doctors and Nurses…

Q: A woman wants to select 5 pair of shoes from six pairs of red shoes, 4 pairs of white shoes and 3…

A: Pair of shoes women want is 5. Pair of red shoes is 6. Pair of white shoes is 4. Pair of black shoes…

Q: There is a law made that every man that keeps sheep shall for every 10 sheep, sow one acre of ground…

A: Let the number of sheep he shall keep is 'x'. Given that for every 10 sheep, every man has to sow…

Q: suppose that we wish to seat 10 people, 5 men and 5 women, in a row of ten chairs. in how many ways…

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Q: Consider a popular ramen stall. Before the shop opens, there are 20people waiting in front of the…

A: a-20!b-20!c-210Explanation:

Q: With a short time remaining in the​ day, a delivery driver has time to make deliveries at 3…

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Q: Suppose that a department contains 10 men and 15 women. How many ways are there to form a committee…

A: