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There are 60 possibilities that can be made for a three digit number using the numbers 2 4 6 8 and 9. (5 choices for the first digit, 4 choices for the second digit, and 3 choices for the third digit - multiply 5, 4, and 3, and you get 60.)

To determine how many of these three digit numbers are smaller than 500, consider that, given 2 4 6 8 and 9, the first digit would have to be 2 or 4. That gives 2 choices for the first digit, 4 choices for the second digit, and 3 choices for the third digit. Multiply 2, 4, and 3, and you get 24.

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Related Questions

Are there more 11 digit or 12 digit palindromic numbers?

There are more 12-digit palindromic numbers than 11-digit palindromic numbers. This is because the number of possible 12-digit palindromic numbers is greater than the number of possible 11-digit palindromic numbers. In general, the number of palindromic numbers of length n is 9 * 10^((n-1)/2), so for 11-digit palindromic numbers, there are 9 * 10^5 = 900,000 possibilities, while for 12-digit palindromic numbers, there are 9 * 10^6 = 9,000,000 possibilities.


What are all the possibilities of 4-digit numbers from numbers 0-9?

There are 10,000 possible combinations, if each number can be used more than once.


How many three digit numbers have three distinct digits?

For a 3 digit number, the left most or the most significant digit cannot be zero. So it can be 1,2,3,4,5,6,7,8 or 9 which is 9 possibilities. The middle number can be 0,1,2,3,4,5,6,7,8,9 which is 10 possibilties but one of the digits has been chosen already as the first digit, so the possibilities are only 9. The right most number can be 0,1,2,3,4,5,6,7,8,9 which is 10 possibilities but two of the digits have been already used by the left most and the middle digits. That leaves only 8 possibilities. So the total number of three digit numbers that have three distinct digits is 9 x 9 x 8 = 81 x 8 = 648 possibilities


How many numbers less than 350 can be formed from 1 2 3 4 5 6 if a digit may be repeated in a number?

138 including 1 and 2 digit numbers.-- I'll assume that we're only talking about whole numbers, and no decimals or fractions.-- The number can't have more than 3 digits. If it had four, it would be more than 1,000.-- One-digit numbers . . . 6 possibilities, all less than 350.-- Two-digit numbers . . . 6 x 6 = 36 possibilities, all less than 350.-- In three-digit numbers . . .. . . the first digit can be 1, 2, or 3.. . . If the first digit is 3, then the second one can be 1, 2, 3, or 4 = 4 choices.. . . . . . For each of the 4 choices, the third digit can be 1, 2, 3, 4, 5, or 6 = 6 choices.. . . . . . Total possibilities beginning with a 3 . . . 4 x 6 = 24. . . If the first digit is 1 or 2, then. . . . . . the second digit can be 1, 2, 3, 4, 5, or 6 = 6 choices. For each one . . .. . . . . . the third digit can be 1, 2, 3, 4, 5, or 6 = 6 choices.. . . . . . Total possibilities beginning with 1 or 2 . . . 2 x 6 x 6 = 72Adam up:One-digit possibilities . . . . . . . . . . . . . . . . . . . . . . 6Two-digit possibilities. . . . . . . . . . . . . . . . . . . . . . 36Three-digit possibilities beginning with 3. . . . . . . 24Three-digit possibilities beginning with 1 or 2 . . . 72Total. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 138


How many 4 digit combinations can be made from these 3 numbers 2-6-5?

Assuming you're allowed to repeat numbers, the answer is 81. For each digit, you have three choices: 2, 5, and 6. So there are three one-digit numbers you can make, and each one digit number can be combined with any of three other digits to make a two-digit number, giving 9 (3 times 3) possibilities. Now you can take any of the nine two-digit numbers as the tens and ones places in the four-digit number and any other two-digit number as the thousands and hundreds places, which gives 81 (9 times 9) possibilities. If you can't repeat numbers, the answer is zero because you don't have enough numbers to fill all the digits.


How many 3 digit numbers contain no repetition of digits?

Let's consider the following distribution: __ __ __ Each space represents one number. The first number can be anything from 0-9 (10 possibilities). The second number, after choosing the first number, can only have 9 possibilities. The reasoning behind this is if we choose the same number as the first, then there is a repetition. So we can't use that same number again. The third number can only have 8 possibilities by the same logic as for the second digit. Therefore there can be 10*9*8 = 720 3-digit numbers with no repetitions of digits.


How many six digit numbers can you find using only 1 and 0?

32...calculated as possibillities for the first digit: 1 (because if it was 0, it would only be a 5 digit number) x 2 possibilities for the second digit x 2 possibilities for the third digit...etc. ie, 1x2x2x2x2x2=32


How do i compile a list of all 5 digit numbers i can make from 7 numbers where the number can be repeated example 11233 would be a valid number?

It'll be a long list; there are 57 possibilities.


What five digit number is greater than 20000 but less than 30000?

There are 9999 possibilities; they are the numbers from 20001 to 29999 inclusive.


How many palindromes are between 100 and 10000?

For the group of 3 digit numbers : Any number from 1-9 can be the 1st digit, any number from 0-9 can be the 2nd digit, the 3rd digit can only be one number that matches the 1st digit. The number of possibilities is thus, 9 x 10 x 1 = 90. For the group of 4 digits : Any number from 1-9 can be the 1st digit, any number from 0-9 can be the second digit, the 3rd digit can only be the one number that matches the 2nd number, and the 4th digit can only be the one number that matches the 1st digit. Number of possibilities is 9 x 10 x 1 x 1 = 90. Giving a total of 180 palindromic numbers between 100 and 10000.


How is 102 smallest three digit number with unique digits?

There are only two smaller 3-digit numbers and both of them have repeated digits.


Why 10 is not the smallest two digit number?

Because -99 is a two digit number and it is smaller.10 is the smallest positive 2-digit number.Because -99 is a two digit number and it is smaller.10 is the smallest positive 2-digit number.Because -99 is a two digit number and it is smaller.10 is the smallest positive 2-digit number.Because -99 is a two digit number and it is smaller.10 is the smallest positive 2-digit number.