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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 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 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.
