How many six-digit even numbers more than 200,000 can be formed using all of the digits 1, 1, 2, 2, 3, 5? (e.g. 221135, 315122, 21135, etc.)

Q: How many 4-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, if repetition of digits…

A: In this question, concept of combination is applied. Combination A combination is a mathematical…

Q: How many 6-digit positive integers are divisible by 3 but not by 9 or by 10?

A: Sol:- For a number to be divisible by 3, the sum of its digits must be divisible by 3. Let's…

Q: How many different 4 digit numbers can be formed using only the digits 3, 5, 7 and/or 9, if each…

A: It is required to find the number of different 4 digit numbers that can be formed using only the…

Q: How many 5–digit (decimal) integers are there with none of the digits repeated?

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Q: Suppose we want to form four-digit numbers using the set of digits {0,1, 6, 7, 9}. For example, 9071…

A: The first number can be selected in 4 ways. [ Any number from {1,6,7,9} ] The second number can be…

Q: How many ways can you have a 6-digit passcode on your phone if you start with a 9 and none of the…

A: We need to find the number of ways to have a 6-digit passcode, given that the first digit is 9 and…

Q: How many odd integers from 1,000 through 9,999 have distinct digits?

A: From 1000 to 9999 , all are 4 digited integers.  If the integer is odd then the last digit can occur…

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

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Q: how many 7 digit phone numbers can be formed in an area code, if the symbols 0 and 1 can not be used…

A: We consider that each digit is selected independently of the others. The first digit can be any of…

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: How many 5-digit numbers can be created such that no digit is repeated?

A: We need to create 5 digit number  Total digit = 10 ( 0 - 9) 0 cannot be the first digit  1st digit =…

Q: How many distinct four-digit integers can one make from the digits 1,3,3,7,7, and 8?

A: How many distinct four-digit integers can one make from the digits 1,3,3,7,7, and 8?

Q: From the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9, if five-digit numbers are to be formed and…

A: As per our guidelines we are supposed to answer only 3 sub-parts of any one question We have given…

Q: how many four-digit even numbers are possible if the leftmost digit cannot be zero? repitition is…

A: The question is to find how many 4 digits even numbers are possible if the left most digit cannot be…

Q: How many different three digit numbers can be formed using the digits 8,1,5, and 7 with repetition ?…

A: To determine: The different three digit numbers can be formed using the digits 8, 1, 5, and 7 with…

Q: Prove that a four-digit number is a multiple of 8 whenever the number formed by the first three…

A: The solution is given by using the expanded form of number as follows

Q: Given two natural numbers a and b, how would you check whether a/b has a terminating decimal…

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Q: How many different numbers can be formed using all the digits of 3 334 777?

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