Discrete Mathematics Explain Steps  If no two couples sit together, how many different ways may n couples sit in a row?  Derangement is a permutation of π ∈ Sn that has none of the fixed points, or The components are still in their first placement. How many different derangements of [n] are possible?

Q: Evaluate the permutation. P(n,0) P(n,0) = (Simplify your answer.)

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Q: A checker is placed in the bottom row of a checker board as shown below. It can move diagonally…

A: This is a counting problem.. we will solve it using the approach of dynamic programming.

Q: Combination Locks A combination lock displays 50 numbers.To open it, you turn clockwise to the first…

A: Solution: Let the p selections for the first choice q selections for the second choice and  r…

Q: Pulling either a diamond or a spade from a deck of cards Change of rolling a 5 on a ten-sided die…

A: Probability of pulling a diamond or a spade from a deck of card= probability of pulling a diamond +…

Q: An experiment consists of asking 3 women at random if they wash their dishes with brand X detergent.

A: As per bartleby  guidelines I can't answer more than three sub parts per post. Please post other sub…

Q: Suppose that there are variables x1, X2, T3, X4 Which are natural numbers, i.e. they are nen…

A: We have to probability that for at least one of the variables xi≥10. Number of solutions of…

Q: Arrange the steps in the correct order to prove that if x is a real number and mis an integer, then…

A: In first question we have to find out the correct order.As per our company's guidelines we are…

Q: We can use a I to help identify all possible combinations.

A: Permutation is used for specific order arrangement while combination is does not cares order of…

Q: (b) Consider the 48-ball lottery game described above. Recall that the order of the numbers chosen…

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Q: need help just with the blanks

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Q: Suppose that the captain of a ship that is in distress must send a total of twelve different signals…

A: Given: n(blue signals) = 4 n (purple signals) = 4 n (red signals) = 4 n (total colors) = 3

Q: How many subsets of S do not contain any upper case letters?

A: given set S=A,B,a,b,c,d,1,2,3,4 claim- to find how many subsets of Sdo not contain any upper case…

Q: Please explain the approach tothis question? What theories can be applied? You have two bags of…

A: Probability: The concept of probability is defined as the ratio of the number of favorable outcomes…

Q: For how many n E {1, 2, · . ·, 553} is n a multiple of one or more of 5, 9, or 3?

A: On considering let n(k) denotes number of multiples of 12 in {1,2,...553}…

Q: Consider a group of 7 people divided among 5 rooms. 1. Are we guaranteed at least room with more…

A: statement of pigeon hole principle:- let m be the pigeons and n pigeon halls, m>nthere is at…

Q: In the questions below suppose that a "word" is any string of seven letters of the alphabet, with…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: meetgLg M attend meeting together? A student is to answer 8 out of 10 questions on an exam. (a) how…

A: To calculate the number of choices under the three different conditions

Q: Discrete structure Math question.

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Q: How many 3 digit numbers com we wing the digits 2,2,4,Ś cnd 6 withat bepelition? make

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Q: 1 A team of 8 members will be created from a pool of 15 candidates (10 Men and 5 Women). How many…

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Q: The NFL needs to buy a new batch of official coins for the pre-game coin flip. They get 3 sample…

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Q: Question 25 Is this an example of permutations or combinations? The amount of different ways to seat…

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Q: The NFL needs to buy a new batch of official coins for the pre-game coin flip. They get 3 sample…

A: We are interested in testing if the coin is fair or not

Q: Consider the (nx n)-grid (drawn below in the case n = 6). How many distinct walks are there from the…

A: Solution: From the given information, a grid of size 6*6.

Q: If U =[2,4,...,16] , A = [2,6,8,10] and B = [4, 6,10,14] then find out (U - A) N (U - B)

A: Given

Q: 2. Determine the number of strings of length n consisting of the letters a, b, c, d in which there…

A: The given data in this question is the length of the string, denoted as 'n', and the set of…

Q: Tossing a coin four times in a row and getting HTHT, in what order

A: we know that, when a tossing coin four times then , total outcomes= 2^4                         = 16

Q: Both before and after a recent earthquake, surveys were conducted asking voters which of the three…

A: The contingency table shows the data from the survey.

Q: A bag contains three red marbles, two green ones, one lavender one, three yellows, and three orange…

A: To find the total number of marbles in the bag, we simply add up the number of marbles of each…

Q: 2. So, two events A and B are independent if one of the following identities is true formula (2.1)…

A: Two events A and B are independent if    P(AB) = P(A).P(B) Or using conditional probability…

Q: FMA o Mebini, Devuo de Oro Quarter/Month: Score: Combination The number of combinations of z objects…

A: Here we have to explain the combinations of n objects taken r at a time :  In this example we…

Q: 7. In the tennis tournament, each player of the "blue" team meets with each player of the "red"…

A: Permutation and combination

Q: Find, if possible, the number of elements in sets A, B, and C using the given information. n(A-C)=11…

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Q: To win the lottery in a certain state, you must correctly select four numbers from a pool of numbers…

A: Given that there 46 number between 1-46 and we are selecting 4 number from these 46 number. We are…

Q: Discrete Mathematics A company produces 8 different sweater designs. Each sweater is made from…

A: Given that there are 8 different types of sweater designs. Each sweater is made from three different…

Q: A fair coin is tossed two times in succession. The set of equality likely outcomes is (HH,HT,TH,TT).…

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Q: Ten honors students, each from a different high school in a county are lined up in two rows of five…

A: Here use combination and total arrangement

Q: A lottery game requires that you pick 7 different numbers from 1 to 59. If you pick all 7 winning…

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