How many three-digit numbers can be constructed from the digits 0, 3, 4, 5, 6, 8, 9 if: a) repetition is not allowed? b) the number must be greater than 400 and repetition is not allowed? c) the number must be odd and repetition is allowed? d) the number must be exactly divisible by 5 and repetition is not allowed?

Q: How many positive integers between 500 and 999 inclusive are not divisible by 5?

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Q: 1. How many 3 - digit numbers less than 150 can be formed from the digits 0, 3, 4, 6, and 9?

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

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

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Q: 2. In how many ways can three numbers be selected from the numbers 1, 2, ... , 300 such that their…

A: This problem is solved using the concept of permutation and combination. please find step by step…

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A: Given Digits: 0,1,2,3,4,5,6,7 & 8

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

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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: How many integers in {1,2, 3, ..., 99, 100} are not divisible by 7? (Give the exact number)

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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: A code consists of selecting 3 not-necesarily-distinct digits, followed by a 3-letter "word" chosen…

A: Total ways of selecting 1 Digit: {0,1,2,3,4,5,6,7,8,9} = 10 Letters = {A,B,C,X,Y,Z} = 6

Q: How many 3-digit numbers with digits in 1,2,3,4,5,6,7,8,9 (repeats allowed) are divisible by 9

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Q: From a deck of 52 playing cards, 5 cards are to be drawn. How many 5-card hands are possible? How…

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Q: How many different phone numbers can be formed if it must have 7 digits and cannot start with 0 or 1…

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Q: In how many ways can the digits in the number 7,848,488 be​ arranged?

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Q: Let A denote the set of all 4 digit numbers that are divisible by 3, and B denote the set of all 4…

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Q: How many integers between 1 and 10000(inclusive) are divisible by at one of 9, 10, 11?

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Q: How many 5-digit numbers can be made from the digits 1 to 9 if: a) Repetition of digits is allowed?…

A: Here AS PER POLICY I HAVE CALCULATED FIRST 3 SUBPART ONLY

Q: How many four​-digit numbers may be formed using elements from the set {1, 2, 3, 4, 5, 6, 7} if no…

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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.

Q: How many integers, greater than or equal to10000 but less than or equal to 39999, can be formed with…

A: Note: Hi there! Thank you for posting the question. As your question has more than 3 parts, we have…

Q: How many numbers between 100 and 999 (inclusive) are divisible by neither 4 nor 5?

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

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Q: 11 Given the digits 6, 7, 8, 9, a. How many four number digits can be formed if there's no…

A: Given digits are  6, 7, 8, 9 each parts are solved below.

Q: How many three-digit numbers can be constructed from the digits 0, 1,2,3,4,5,6,8,9 if the number…

A: Given digits is0, 1, 2, 3, 4, 5, 6, 7, 8, 9Total no.of digits=10

Q: Assume that you are to select digits from the set {2,5,6,8,9} to form a number between 20 and 900.…

A: Assume that you are to select digits from the set {2,5,6,8,9} to form a number between 20 and 900.…

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

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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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