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How many 3 digit number are formed using the digits 3 5 7?
With repeating digits, there are 33 = 27 possible combinations.Without repeating any digits, there are 6 combinations:357375537573735753
How many possible 4 digit combinations are there using 0-9 with no duplicates?
There are 5,040 combinations.
How many 4 digit combinations of 1-4?
There are 24 combinations using each digit once per combination: 1234 1243 1324 1342 1423 1432 2134 2143 2314 2341 2413 2431 3124 3142 3214 3241 3412 3421 4123 4132 4213 4231 4312 and 4321.
How many 5 digit numbers that are divisible by 4 can be formed using the digits from 0 to 6 if no digit is to occur more than once in each number?
There are 7 digits from 0-6 To determine if a number is divisible by 4, we only need look at the last 2 digits. Possibilities are: [135][26] => 12, 16, 32, 36, 52, 56 and [0246][04] => 04, 20, 24, 40, 60, 64 (ignoring 00 and 44) There are 8 combinations without a 0, and 4 with a 0. Of the 8 combinations without a 0, We can only pick 4 of the remaining digits for the ten thousand digit. This leaves us with 4 digits for the thousands digit, 3 for the hundreds digit Of the 4 combinations with a 0, similarly we have 5 X 4 X 3 possibilities for the rest of the digits. 8 * 4 * 4* 3 + 4 * 5 * 4 * 3 = 32 * 12 + 20 * 12 = 52 * 12 = 624 There are 624 possible numbers.
What is the smallest 6 digit number using the digits 12345?
Since there are only five different digits, a 6-digit number can only be generated if a digit can be repeated. If digits can be repeated, the smallest 6-digit number is 111111.
