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

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

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

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

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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: Discrete structure Math question.

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

A: Permutation and combination

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

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