A DNA sequence consists of a string of elements called nucleotides, in a defined order. Suppose the DNA sequence of a virus is 12 nucleotides long. If each nucleotide can be either a G, T, C, or A, how many different sequences are possible? Answer:

Q: A class has 28 students. In how many different way can four student form a group for an…

A: GivenTotal no.of students in a class(n)=28No.of students form a group for an activity(k)=4

Q: How many permutations can be made out of the letters BOOKKEEPER?

A: From the given information, Number of letters in BOOKKEEPER = 10 There is 1 B, 2 O's, 2 K's, 3 E's,…

Q: How many different tests were required for every possible pairing of five wires?

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Q: How many distinct arrangements of the letters in the word “footballers” are possible?

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Q: he word "Knickknack" if "nack" goes together in a

A: Given: Total number of letters = 10  Number of letters to be together = 4 Number of 'k' apart from…

Q: The basic blood types are represented by letters: A, B, AB, and O. There is also an Rh factor…

A: Given variables:1. Blood types: 4 (A, B, AB, O)2. Rh factors: 2 (Positive, Negative)3. Genders: 2…

Q: Consider the following digits: 0, 1, 2, 3, 4, 5, and 6. if a three-digit number is to be formed and…

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Q: A student is asked to answer seven of ten questions on a test. How many different ways can a…

A: GivenTotal no.of question(n)=10No.of questions student asked to answer(r)=7

Q: How many distinct arrangements of the letters in the ( fictitious) word FOOTBALLLERS are possible?

A: Given information- We have given the word FOOTBALLLERS, we have to find the no. of arrangements of…

Q: How many different unique passwords could be made by rearranging the following characters? M A T H E…

A: How many different unique passwords could be made by rearranging the following characters? M A T H E…

Q: A, B, C, D, or F at the end of the semester. (a) What is the minimum number of students required in…

A: From extended Pigeonhole Principle we know that if there is n pigeon and m pigeon holesn>m then…

Q: How many permutations of the 32 letters can be made?

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Q: From a deck of 52 playing cards, 5 cards are to be drawn. How many sets of 5 cards are possible if:…

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Q: A penny collection contains twelve 1967 pennies, seven 1968 pennies, and eleven 1971 pennies. If you…

A: Generalized pigeonhole principle For any function f form a finite set X with n elements to a finte…

Q: A pet store surveyed 178 people to see how many own a bird and how many own a cat. The Venn diagram…

A: Given data, No of bird owners =37 No of cat owners=28 Bird & cat owners =39 No bird or cat…

Q: How many different Kriyas may be created with only 5 of these poses?

A: In yoga, a Kriya is a complete set of specific poses and breathing techniques that are combined to…

Q: A machine can give a signal by using five lights in a row. Each light can be either on or off. How…

A: There are total five lights and each of the lights is either on or off.

Q: You are asked to create a six character password and each character can be any of the 26 letters of…

A: Given: Number of alphabets=26 Number of numerical 2 through 9=8 Total number of characters, n=34 The…

Q: Determine if each is a permutation or a combination and then evaluate. How many four-letter words…

A: From the provided information, The four-letter words will be formed from the first letters of the…

Q: A theater was designed to have 24 seats in the first row, 30 seats on the second row, 36 seats on…

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Q: How many permutations can be made out of the letters in the word CAROLINE taken 4 at a time?

A: There are 8 letters in the word CAROLINE. We can take 4 letters from 8 letters in 8P4=8!(8-4)!=1680…

Q: Each student in a class of 30 was randomly assigned one line of a random number table. Each student…

A: Here, it is clear that 50% of odd digits and 50% of even digits.

Q: A password must have 2 letters from the school acronym NDDU and 3 digits from 1 to 9. How many…

A: 2 letters from the school acronym NDDUand 3 digit from 1 to 9we have to find out the possible…

Q: In how many ways can we select 7 books out of 9 and arrange them on a bookshelf? a. 181,440 b. 72 c.…

A: we have to find In how many ways can we select 7 books out of 9 and arrange them on a bookshelf.

Q: Tennis balls are randomly toss into one of five trays. Determine the number of balls needed to…

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Q: Five cards are dealt off of a standard 52-card deck and lined up in a row. How many such line-ups…

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Q: State whether each arrangement represents a permutation or a combination.   a. 8 people seated…

A: Arrangement classification- Permutation or Combination

Q: How many possible combinations of letters can a person have in their three-letter initials if no…

A: Given a person have three letter initials and no letter repeats.Total number of letters = 26.The…

Q: A sailboat owner received 5 different signal flags with his new sailboat. If the order in which the…

A: Given A sailboat owner received 5 different signal flags with his new sailboat.

Q: Let A = {a, b, c}, B = {1,2, 3} How many elements are in A × B? Determine A × B

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Q: You need to choose a new 8-character password for your account. The password can contain only…

A: The objective of this question is to calculate the total number of possible passwords that can be…

Q: In how many ways can the letters in the word ARGOS be arranged?

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Q: . Find the number of distinct permutations that can be formed from all the letters of each   word…

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Q: A lottery will randomly choose a four digit number with the following procedure: 10 tiles each with…

A: Ten tiles numbered 0 to 9 are placed in a box.  Four tiles are picked one by one to form a 4-digit…

Q: Assume that a grade of A, B, C, D, F, or NC is assigned to each of 10 students. In how many…

A: Given ,Grades are  A, B,C,D,F or NCTotal grades = 6No. of students = 10

Q: There are 16 teams in each conference in professional football, and 6 make the playoffs each year.…

A: The number of teams (n) is 16 and the number of playoffs for each year (r) is 6.

Q: Use permutations to solve. The student activity club at the college has 39 members. In how many…

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