A DNA sequence can be represented as a string of the letters ACTG (short for adenine, cytosine, guanine, and thymine).   (a) How many DNA sequences are exactly 20 letters long?    (b) Given a DNA sequence of length 20, how many single letter mutations are possible?      (c) Given a DNA sequence of length 20, how many double letter mutations are possible?

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

A:

Q: A password contains eight digits, such as 17466780. How many different passwords be formed?

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Q: A password contains eight digits, such as 17466780. How many different passwords can be formed?

A: no.of digits(0 to 9)=10

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Q: In how many ways can first, second, and third prizes be awarded in a contest with 210 contestants?

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Q: 14a-14d

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Q: Current rules for telephone area codes allow the use of digits​ 2-9 for the first​ digit, and​ 0-9…

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Q: A 6-digit phone number cannot start with 0 or 1. Assume that there are no restrictions on the…

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Q: How many strings of 12 ternary digits (0, 1, or 2) are there that contain exactly four 0s, four 1s,…

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Q: you are to form a 5-digit number from the digits 1, 2, 3, 4, 7, 8, and 9, using each at most once.…

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Q: Suppose a password must have at least 8 characters, but no more than 12 characters, made up of…

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Q: (a) If a student must answer 8 of 12 questions on an examination, how many different selections of…

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Q: How many strings of three decimal digits

A: Strings of three decimal digits:

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Q: How many strings of 12 ternary digits (0, 1, or 2) are there that contain exactly hree Os, five 1s,…

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Q: How many ways of strings of length 10 can we build from an alphabet of 30 characters?

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Q: How many different sequences are possible? How many different sequences consist entirely of even…

A: * SOLUTION :-

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Q: Each user on a computer system has a password, which is seven to nine aracters long, where each…

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Q: In how many ways can 5 starting positions on a basketball team be filled with 8 men who can play any…

A: GivenNo.of Men(n)=8No.of positions(r)=5

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.