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How many different 5 digit numbers can be formed from the digits 0 to 9?
100000 - including numbers with leading 0s
How many 3 digit numbers divisible by 9 can be formed from the digits 0123456789?
There are 76 such numbers. Eight more if you allow numbers to start with 0.
How many two digit numbers can be formed with the digits 0123456789 if repetition of digits are not allowed?
To form a two-digit number using the digits 0-9 without repetition, the first digit (the tens place) can be any digit from 1 to 9 (9 options), since a two-digit number cannot start with 0. The second digit (the units place) can then be any of the remaining 9 digits (including 0 but excluding the first digit). Therefore, the total number of two-digit numbers that can be formed is 9 (choices for the first digit) multiplied by 9 (choices for the second digit), resulting in 81 possible two-digit numbers.
How many different 4-digit numbers can be formed from the digits of 0 2 4 and 7?
192, including ones containing repeat digits.
How many four digit numbers can be formed by rearranging the digits in the number 5402?
18 (and 6 more starting with a 0).
How many different four-digit numbers can be formed from the digits 0 through 9?
10,000
How many different 5 digit numbers can be formed from the digits 0 to 9?
100000 - including numbers with leading 0s
How many 3 digit numbers divisible by 9 can be formed from the digits 0123456789?
There are 76 such numbers. Eight more if you allow numbers to start with 0.
How many different 4-digit numbers can be formed from the digits of 0 2 4 and 7?
192, including ones containing repeat digits.
How many four digit numbers can be formed by rearranging the digits in the number 5402?
18 (and 6 more starting with a 0).
How many 6-digit numbers can be formed using the digits 0 1 2 3 4 5 6 7 8 9 if digits can be repeated?
151200 numbers.
How many 3 digit numbers can be formed from the digits 0 through 9 in a set of three?
If the digits can be used more than once, then 900. If not, then 648.
How many 4 digit numbers can be formed using the digits 0 1 2 3 4 5 6 if repetitions of digits are allowed?
2,401
How many 7-digit phone numbers can be formed if the first digit cannot be 0 or 1 and any digit can be repeated?
The first digit can be formed in 8 ways (excluding 0 and 1). The rest of the 6 digits each can be filled in 10 ways. The total number of digits, therefore is 8 x 10^6.
How many 2 digit numbers can be formed using the digits 1 3 5 7 9 and 0 if repeating is not allowed?
There are 25 such numbers.
How many 5-digit numbers can be formed using the digits 0 1 2 3 4 5 6 7 and 8 if the first digit cannot be 0 or 1?
There are 7*94 = 45927 such numbers.
How many 4 digit numbers have 6 as their second digit?
There are 9 digits that can be the first digit (1-9); for each of these there is 1 digit that can be the second digit (6); for each of these there are 10 digits that can be the third digit (0-9); for each of these there are 10 digits that can be the fourth digit (0-9). → number of numbers is 9 × 1 × 10 × 10 = 900 such numbers.
