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How many 5 digit combos in 30 numbers?

Updated: 6/10/2024
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10y ago

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The answer will depend on how many digits there are in each of the 30 numbers. If the 30 numbers are all 6-digit numbers then the answer is NONE!

If the 30 numbers are the first 30 counting numbers then there are

126 combinations of five 1-digit numbers,

1764 combinations of three 1-digit numbers and one 2-digit number, and

1710 combinations of one 1-digit number and two 2-digit numbers.

That makes a total of 3600 5-digit combinations.

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Q: How many 5 digit combos in 30 numbers?
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How many two - digit numbers are divisible by 3?

There are 30 such numbers.


How many 2 digit numbers are divisible by 3?

Starting at 12 and ending at 99, there are 30 two-digit numbers divisible by three.


How many 3 digit positive multiples of 30 are there?

The first 3 digit integer being a positive multiple of 30 is 120. The final 3 digit integer being a positive multiple of 30 is 990. 990 - 120 = 870. 870 ÷ 30 = 29 But, as 29 is the difference between the two limits and the limits themselves are included then there are 29 + 1 = 30 such numbers.


How many 3 digit numbers have a first digit which is triple the final digit?

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How many numbers less than 500 can be formed using the digits 12345 and 6 without repetitions?

There is no limitation given to the number of digits in the number, thus: For 3 digit numbers: to be less than 500 the first digit can be only one of {1, 2, 3, 4} leading to 4 × 5 × 4 = 80 numbers For 2 digit numbers: they are all less than 500, and there are 6 × 5 = 30 numbers For 1 digit numbers: they are all less than 500, and there are 6 numbers Thus there are in total 80 + 30 + 6 = 116 numbers that can be made form the digits {1, 2, 3, 4, 5 ,6} without repetitions that are less than 500.