Three - digit numbers are formed from the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. a.) How many three - digit numbers can be formed? b.) How many of these are even? c.) How many of these are odd?

Q: 7. How many positive integers between 100 and 999 inclusive are divisible by 78

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Q: ich there are no repeated digits?

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Q: (a) How many 4-digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, 6, and 7, if each digit…

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Q: How many integers in {1, 2,..., 100} are not divisible by 7 or 5? (Give the exact number)

A: Find the number of integers in 1,2,...,100 which are not divisible by 7 or 5.

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Q: 6. Calculate the number of different six-digit numbers which can be formed using the digits 0,1, 2,…

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Q: How many three-digit numbers can be formed under each condition? (a) None of the digits can be 5.…

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Q: How many pairs of integers (a,b) exists such that the product of a,b and HCF of (a,b) is 1080??

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Q: Consider five-digit numbers  = a1 a2 a3 a4 a5, with each digit from the set {1, 2, 3, 4}. a. How…

A: Solution is given as below:

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Q: How many positive integers between 100 and 999 inclusive   d) are not divisible by either 3 or 4?…

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Q: (a) How many four-digit numbers can be formed from the digit 0, 1, 2, 3, 4,5, 6, 7, 8 ,9 if each…

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Q: 2. If repetitions are not permitted, (i) how many 3-digit numbers can be formed from the six digits…

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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 integers between 100 and 999 inclusive are multiples of 13?

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Q: How many poker “hands” are there of the form:         ?

A: Given problem Given that

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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. How many 3-digit numbers can be formed from the set of decimal digits if the numbers formed are…

A: Answer is given below:

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

A: Since you have submitted two questions, we'll answer the first question. For the second question…

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Q: (e) How many integers are there from 1,0 through 9,99 (b) How many odd integers are there from 1,000…

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Q: (a) If repetition of digits is not​ allowed, how many four​-digit numbers can be formed using the…

A: Solution: a. The given digits are 1, 2, 3, 4 and 5. Here, the repetition is not allowed.

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Q: state lottery game, a player chooses in a seven distinct numbers from I to 35. in how many ways can…

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Q: 3. Given that the digit 7,8,9,10, and 11. How many four digits numbers: (a) i. greater than 9000 can…

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Q: How many integers from 1 to 500 are divisible by at least one of  the numbers 3, 4, 5?

A: Given :  Integers from 1 to 500 Total numbers  = 500 So to calculate the number of divisors, we will…

Q: How many integers in the range 1 to 100,000 inclusive are divisible by 6, 15 or 21?

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Q: is the sum of all odd numbers from 31 to 497?

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

A: * SOLUTION :-

Q: write the formula for how to find a tandard divisor?

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Q: Two digit natural numbers are formed, with replacement, from digits 0 through 9. How many numbers…

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Q: (a) How many even numbers less than 500 can be formed using the digits 1, 2, 3, 4 and 5? Each digit…

A: The even numbers formed using those digits can have 1 digit or 2 digit or 3 digits. 1 digit even…

Q: How many positive integers between 10 and 99 inclusive are divisible by 2 or 3?

A: How many positive integers between 10 and 99 inclusive are divisible by 2 or 3?

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Q: In how many different ways can the letters of the word “Karachi” be arranged such that the vowels…

A: From the given information, The letters of word =” Karachi” Vowels in the above letter = {a, a, i}