How many digit strings of length 5 do not contain 00? A) 9(9,720)+981 B) 9(9,720+981) C) 9,720+981 D) None of these are correct

Q: How many integers between 100 and 400 contain the digot 2?

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Q: Q1) a) How many 3 digits passcodes are there if first digit must be a 1 or 2 ?   b) How many 3…

A: a). There are 10 digits (0,1,2,3,...,9)  in total. If the first digit is filled with 1 or 2, then…

Q: How many 5 letter codes are possible from the first 7 letters of the alphabet? a.) letters can be…

A: Excel is used to obtain the line and bar graph for years of education and years of experience,…

Q: Write the following (x: x-2, n is natural number less than 6) in roster form. (1, 2, 3, 4, 5}

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Q: A number is called “quadary” if each digit is either 0, 1, 2, or 3. How many different 5-digit…

A: Given that a number quadary if each digit is either 0,1,2 or 3. To find the number of  different…

Q: 13. Prove that if the sum of digits of a number is divisible by 9, then so is the number.

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Q: How many can four digits be formed using the digits 0, 1, 2, and 3 (repetition is allowed)? * O 12 O…

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Q: Consider the following Initial Value Problem dy 5y=x, dr subject to the initial condition y(0) = 1.…

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Q: Suppose the Department of Motor Vehicles uses six digits and the numbers 0 through 9 to create its…

A: Solution.

Q: It is desired to write a 3-digit number using the numbers 2, 3, 4, 5, 6, 7, 8. If each number is…

A: There are total 7 digits, such that, 2, 3, 4, 5, 6, 7 and 8.

Q: A four-bit code word is any sequence of four digits, where each digit is either a 0 or a 1. For…

A: Here we have to form A Four bit code word of four digits using the digit 0 and 1

Q: How many different passwords exist that consist of 12 characte using uppercase and lowercase…

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Q: four or five-digit PIN is to be selected from the ten digits 0,1,2,3,4,5,6,7,8,9. How many 4-digit…

A: Permutation and combination used to calculate the number of possible ways to arrange or select a…

Q: How many positive integers less than 1000 are divisible by 5? How many positive integers less than…

A: We will answer the first three questions as per our guideline. Please resubmit the other question…

Q: How many 5-digit numbers (including leading 0s)are there with no digit appearing exactly two times?

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Q: Assume a country has 3-digit area codes that all have 0 or 1 as the middle digit, do not have 0 or 1…

A: Solution: From the given information, 3-digit area code should be formed. The first digit do not…

Q: How many integers between 1000 and 9999 inclusive are not divisible by 5?

A: The number of integers from 1 and 9999 which are divisible by 5 is = [9999 ÷ 5] = [1,999.8] = 1999…

Q: How many numbers between 3000 and 4000, with distinct digits, can be formed using the    digits 1,…

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Q: How many whole numbers are there with exactly 5 digits that can be written using only the digits 8…

A: no. of whole number possible with exactly 5 digits from digits 8 and 9 = ?

Q: Q)1 a) How many 3 digits passcodes are there if first digit must be a 1 or 2 ?   b) How many 3…

A: Q1) a) There are 10 digits 0,1,2,3,4,5,6,7,8,9. The 3 digit passcodes must be formed such that first…

Q: Show that given any set of 5 natural numbers, there are 3 numbers whose sum is divisible by 3.

A: Let q∈N. Note that, for every q there exists some x∈N and some v∈0,1,2 such that q=3x+v. Now, let…

Q: A ternary string is an ordered string of characters which consists of digits (0,1, or 2). For…

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Q: A code consists of selecting 4 not necessarily- distinct digits, followed by a 2-letter “word”…

A: There are total 10 numbers. A code of 4 digits can be made in 104 ways. Now the number of ways 2…

Q: From the letters {A, B, C, D, E, F. G}, how :many 3-distinct-letters codes can be (a) generated? (b)…

A: a) 7C3 distinct codes can be generated by {A,B,C,D,E,F,G} which is equal to 21

Q: A computer password is required to be 5 characters long. How many passwords are possible if the…

A: Given dataa computer password is required to be 5 cgaracters longThe password requires 2 letters…

Q: How many six-digit even numbers more than 200,000 can be formed using all of the digits 1, 1, 2, 2,…

A: Step 1: Step 2: Step 3: Step 4:

Q: Recall that hexadecimal numbers are constructed using the 16 digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A,…

A: We know that,Hexadecimal numbers are constructed using the 16 digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,…

Q: A product code consists of a one or two-digit number (including 0) followed by 3 not necessarily…

A: A product code consists of a one or two-digit number (including 0) followed by 3 not necessarily…

Q: How many real four digit numbers (they can not start with zero) can be formed from digits 0, 1, 2,…

A: Given digits is 0,1,2,3,4,5,6Total no.of digits = 7

Q: How many 3-digit numbers with digits in {1,..., 9} (repeats allowed) are divisible by 9?

A: Given digits are 1,2,3,4,5,6,7,8,9. Make three digit numbers using the given digits. To find: The…

Q: 1) 50 + 90 = + 50: 2) 7 x (25 + 5) = (7 x 25) + (7 x 3) (10 + 15) + 20 = 10 +( 4) (8 x x 9 = x (5 x…

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Q: How many three digit numbers (values between 100 and 999 inclusive) are divisible by four? How many…

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