How many arrangements in a row of no more than three letters can be formed using the letters of the word CAMPUS (with no repetitions allowed)? O A. 120 о в. 156 O C. 6! →O D. 1!+2!+3! Explain your reasoning to the problem above.

Q: How many arrangements are there of the letters of the word MATHEMATICS in which all the vowels…

A:

Q: Suppose that a candy shop sells eight different kinds of candies: 50 cherry, 50 strawberry, 40…

A: This is a case of permutation.

Q: Suppose we want to choose 5 objects, without replacement, from 16 distinct objects. (a) If the order…

A: In this question, we want to find the number of ways if the order of choice is relevant and not.…

Q: Suppose that 50 people buy raffle tickets. a. In how many ways can 4 people who bought tickets be…

A: a) If each is to receive a $20 gift certificate to a restaurant then the arrangement does not…

Q: In how many ways can you arrange the letters of the word "ADVENTURE" so that D doesn't occur before…

A: Permutation: A permutation of a set is defined as an arrangement of its members into a sequence or…

Q: A group of 9 people consisting of 4 mothers and 5 children bought tickets for the cinema in the same…

A: Given: 4 Mothers 5 Children

Q: In how many ways can you arrange the letters of the word "ADVENTURE" so that D doesn't occur before…

A: Permutation is a technique to obtain the possible arrangements of listed items in linear order. It…

Q: A shipment of 12 television sets contains 3 defective sets. In how many ways can a hotel purchase 5…

A: Given that 12 television sets contains 3 defective sets. We have to find  how many ways can a hotel…

Q: (d) Given the word PERMISSION, in how many ways can all the letters be arranged if (i) Number of…

A: Solution

Q: Suppose we want to choose 3 objects, without replacement, from the 4 objects pencil, eraser, desk,…

A: Suppose we want to choose 3 objects, without replacement, from the 4 objects pencil, eraser, desk,…

Q: If in a convention, 53 people liked coffee A, 52 people liked coffee b, 42 people liked the coffee…

A:

Q: If N={1,2,3), then (xlxEN< ? }

A: Given :- N = {1,2,3} Then {x | x ∈ N &lt; ?} Here , N &lt; 4 So, {x | x ∈ N &lt; 4}

Q: 3) Mr. Rodriguez needs to select 9 players for his basketball team. There are 20 available players .…

A: Given Total players = 20 We need to select 9 out of 20.

Q: In how many ways can 7 books be arranged on a shelf if (a) any arrangement is possible, (b) 3…

A: Introduction:  Arrangement: The number of possible arrangement of different objects in different…

Q: A tailor owner has 10 new pants that he wants to display in the window. If the display window has 4…

A: The number of new pants are 10.

Q: given m=6, n=1, and v=(-4,7), what is v(n-m)?

A:

Q: In how many ways can 10 balls be placed into 4 boxes with no box being empty if: a) the 10 balls…

A:

Q: B) How many different ways can 6 red, 8 yellow, 12 black, 7 green and 10 blue of bulbs be arranged…

A:

Q: If repetition is not allowed, in how many ways can we arrange ♣, ♠, ♦, and ♥ a) four at a time? b)…

A:

Q: a contractor builds homes of 9 different models and presently has 3 lots to build on. In how many…

A: Given: A contractor builds homes of 9 different models and presently has 3 lots to build on.

Q: Show your work and justify. In how many ways can we order a deck of 52 playing cards so that no two…

A:

Q: How many ways are there for 8 men and 5 women to stand in a line, so that no two women stand next to…

A:

Q: A student wants to buy 3 CDs. Assume that they are interested in 4 CDs featuring the piano, 6 CDs…

A: The total number of ways of choosing 3CD's=C313=286 If all the CD's are same that are chosen, then…

Q: A teacher requires a student to answer 5 out of 10 questions, without regard to order. How many ways…

A: Number of ways to choose r items out of n items is given by formulae: nCr Here C represents…

Q: a) How many words (with or without any meaning) can be formed by arranging the letters in the word…

A:

Q: .There are four couples want to have their dinner in a round table . In how many ways can they…

A: From the given information, there are four couples want to have their dinner in a round table. Note:…

Q: Suppose we want to choose 5 objects, without replacement, from 18 distinct objects. a) If the order…

A: Given,Total no.of distinct objects=18

Q: 10. A shop sells 15 kinds of doughnuts, among them are plain, choco-filled, and strawberry-filled.…

A:

Q: You want to choose a committee of 5 people from 7 men and 8 women. In how many ways can this be…

A: Given 7 men and 8 women

Q: 2. A certain ice cream store has 31 flavours of ice cream available. In how many ways can we order a…

A: Given,store has 31 flavours of ice creamand we are buying 12 ice cream.

Q: Given m = 6, n = 1, and v = (-4, 7), what is v(n-m)?

A: Given :- Given m = 6, n = 1, and v = &lt;-4, 7&gt;, what is v(n-m)?

Q: 3) iF 3 books are picked vandomlj fron ashelf Contaning 4 Engg.books, 3 physis,1 dictionary book,…

A: Given,no.of engg.books=4no.of physics books=3no.of dictionary books=1total no.of books=8

Q: Suppose we want to choose 2 objects, without replacement, from the 3 objects pencil, eraser, and…

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

Q: 11. In which diagram are 21 and 22 supplementary?

A: Topic -Geometry

Q: 2- The Swansons are planning to fly to Hawaii from Toronto with a stopover in Los Angeles. There are…

A: According to the provided information, five flights they can take between Toronto and Los Angeles…

Q: Suppose we want to choose 2 object, without replacement, from the 4 objects pencil,eraser, desk ,…

A: If we want to select 2 object among 4 object without Replacement. Then the number of ways is

Q: c) There are three train tracks from village X to village Y and four train tracks from village Y to…

A:

Q: 2. A basketball team of 12 players must be chosen from 18 players. In how many ways can this be done…

A:

Q: Sarah has ten colored pencils that are all unique. She wants to pick three colored pencils from her…

A: Given that  Sarah has ten colored pencils that are all unique. She wants to pick three colored…

Q: Say the football team F, the basketball team B, and the track team T, decide to form a varsity club…

A: It is given that the number of members in team F ‘n(F)’ is 25.

Q: If ​n(A)equals 7 ​, ​n(B)equals 10   and​ n(A intersect   ​B)equals 3 ​, what is​ n(A union…

A: Suppose that two sets are A and B.

Q: Consider the letters A-F. How many different arrangements are there for which: A is before B…

A: Given:  letters A-F = A, B, C ,D ,E, F

Q: A bowl contains 7 red balls, 5 white balls, and 3 green balls. In how many ways can 3 balls be drawn…

A: Given,no.of red balls=7no.of white balls=5no.of green balls=3Total no.of balls=15

Q: 1. How many arrangements could be made of the word GRATEFUL if: o there are no restrictions? o the…

A: The given word is GRATEFUL. Find the following values: There are no restrictions? The first letter…

Q: If N{A} 7 and N{B) 7 and N(A U B) = 7, how are A and B related?

A: Given:NA=7NB=7NAUB=7NA∩B=?Formula:NA∪B=NA+NB-NA∩B

Q: 2.) 100 students were interviewed. 28 took PE, 31 took BIO, 42 took ENG, 9 took PE and BIO, 10 took…

A:

Q: a) How many words (with or without any meaning) can be formed by arranging the letters in the word…

A: We can solve a maximum of first 3 subparts of the first question only as per company guidelines.

Q: A company sells regular hamburgers as well as a larger burger. Either type can include cheese,…

A:

Q: ent Painters, which specializes in painting the exterior of residential buildings, has five people…

A: Given that, 5 people are available in painting the exterior of residential buildings.

Q: A group of 3 people is selected out of a larger group of 20 people. 1 (a) How many possible ways can…

A: Solution: 4. From the given information, 3 people selected from 20 people.