Let n and m be two integers such that n>m >0. If a bit string of length n is randomly selected, what is the probability of selecting a string in which the last m bits are all 1? 0 ㅇ O 2n-m 2n 2" 2m 2n-m 2m None of these. 2m 2"

Q: For what values of nn will the number of ways of selecting nn items from 60 exceed the number of…

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Q: * For each integer n, let Cn = {n²,n³, nª}. How many elements are in each of C-2, C-1, Co, and C3?…

A: The set always contains the distinct elements. Given Cn = n2 , n3 , n4 Consider C-2 = (-2)2 , (-2)3…

Q: A computer password consists of two capital letters selected from Z, A, R, X, S followed by three…

A: Given ,no.of letters =5 (Z,A,R,X,S)no.of digits=5 (2,3,6,8,9)

Q: Rewrite the boolean expression in conjunctive normal form. 5. Determine whether or not the…

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Q: Suppose that A, B, C, and D are digits from 1 to 9 and that A + B = CD (a) What digit must C be?…

A: Given that  A, B, C and D are digits from 1 to 9 such that  A + B = CD   (a)  If 1 ≤ A, B ≤ 4 then A…

Q: N is a natural number. How many values of 'n' can take if ( n! ) Is a multiple of 2 power 25 but not…

A: The highest power of 2 that will multiple of n! is n2+n22+n23+n24+n25+... and so on If we take n=20,…

Q: If r numbers are selected at random from the ten numbers 1, 2, 3,..., 10, repetitions being allowed,…

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Q: Using the result you proved in the question above, find a list of 200 consecutive composite…

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Q: H.W. Evaluate the following expressions for m= 6, n=2, a 0, b 0, c 0, d-0, and e-0 (i) a+=4+ ++m*n ;…

A: Note: According to bartleby we have to answer only first three subparts please upload the question…

Q: , Let a be a positive integer, where the positive difference of every two digits of a in base 10 are…

A: Here, For 1113,     | 1-1 | =0 , | 1-3 | = |-2| = 2 For 2000,     |2-0|= 2, |0-0|= 0 For 2022,…

Q: How many strings of six uppercase letters are there that contain at least one ' or at least one 'Q'…

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Q: A computer system uses passwords that have six characters, and each character is one of the 26…

A: It is given that the first character has to be a Letter Digits : 0,1,2,3,4,5,6,7,8,9 : 10…

Q: Find the smallest number n for which n! is larger than the population of the world.

A: World population is 7.98 billion till October 2022 It according to worldometer by United States.…

Q: QUESTION 7. Find the number of permutations of length 9 that satisfy the following conditions: (i)…

A: To find- Find the number of permutations of length 9 that satisfy the following conditions: It…

Q: You are competing against all other students in your class. Each of you will choose an umber…

A: Given:    Among these student choose a number(integer) between 1 and 100. And also,    The choices…

Q: man is んis now times old 十en Yoan as Son in 7he Sum their tof old will be ages the 76 how whin was…

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Q: If n is prime, then 2" – 1 is prime.

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Q: evaluate the expression (-njn+n +nn-n when n = 2

A: We have given an expression  -nn+n+nn-n Put n=2 -22+2+22-2=-24+20=16+1=17

Q: In the Powerball Lottery, 5 different numbers from 1 to 69 are selected. The order they’re selected…

A: There are  different numbers from  to  that are selected in the Powerball lottery having the order…

Q: The probability of choosing an odd number in the given set of numbers 8, 13, 14, 9, 15, 11, 10 is O…

A: Given : Set of numbers : 8 , 13 , 14 , 9 , 15 , 11 , 10.

Q: Given an integer n 2 1, how many decimal strings of length n begin and end with the same digit?…

A: Given an integer n≥1 We have to find the number of decimal strings of length n begin and end with…

Q: In how many ways can a team of 7 players be made out of total 10 players? 120 o a bo 10000000 None…

A: nCr = n!/((n-r)!r!)

Q: Let denote the binomial coefficient (also written as C(n, r) or nCr). The sum of (C) + (4) +…

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Q: 7. How many 10 bit strings have an equal number of 0's and 1's? How many have 8 (and only 8)…

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Q: Motorcycle license plates in the state of California start with two digits(0–9), followed by one…

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Q: A tennis tournament has n = 64 players, who are drawn uniformly at random to play against each other…

A: Given that n = 64

Q: Let n and m be two integers such that n>m>0. If a bit string of length n is randomly selected, what…

A: solution  current answer is option is c  the required probability  = 2^n-m/2^n

Q: Each character in a password is either a digit [0-9] or lowercase letter [az]. How many valid…

A: We shall count this using basic mathematics.

Q: A baseball pitcher threw 3848 pitches during part of a recent season. Of these, 1372 were thrown…

A: a) The given information is, Number of strikes Number of throws 0 1,372 1 961…

Q: How many bit strings of length 10 has at least 4 1s? Select one: O a. 210 O b. O C. O d. IME IMA i=0…

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Q: In a lottery, each ticket has 5 one-digit numbers 0-9 on it. (with no digit repeating twice) You win…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Write the recursive definition for an = pn n! where a1 = p.

A: The recursive formula is used to describe the relationship between two terms of any sequence. The…

Q: Select each expression that has a sum of 4 4/12 3 1/5 + 1 3/7 1 11/12 + 2 1/4 1 3/6 + 1 1/2 + 1…

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Q: Which of the following is equal to C(200, 50) C(150, 50) О С(200,100) O C(200, 150) O C(150,100)

A: The formula for C(n,r) is evaluated as C(n,r) =n!n-r!·r! C200,50 = 200!200-50!·50! = 200!150!·50!

Q: The Infinite Monkey Theorem states that a monkey hitting keys completely at random on a typewriter…

A: Suppose a monkey is seated in front of a KEYBOARD WITH 28 CHARACTERS. Suppose the monkey types only…