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Q: How many 4 digit numbers can you make using numbers 0 through 9 With repetition?

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290

20 of them, if repetition is not allowed.

There are 600 such numbers.

10^7 if the repetition of digits is allowed. 9*8*7*6*5*4*3 , if the repetition of digits is not allowed.

24 three digit numbers if repetition of digits is not allowed. 4P3 = 24.If repetition of digits is allowed then we have:For 3 repetitions, 4 three digit numbers.For 2 repetitions, 36 three digit numbers.So we have a total of 64 three digit numbers if repetition of digits is allowed.

30 without repetition (6P2) 66 with repetition (12C2)

If repetition of digits isn't allowed, then no13-digit sequencescan be formed from only 5 digits.

I take it that you want to make three digits numbers with 8,7,3, and 6 without repetition. The first digit cane be selected from among 4 digits, the second from 3 digits, the third digit from 2, hence the number of three digit numbers that can be formed without repetition is 4 x 3 x 2 = 24

You are not using the digit zero (0), so there are nine possible digits. If repetition is allowed and order is important (like a 4 digit combination lock), then the answer is 94 = 6561. If repetition is not allowed and order is important, then you have 9! / (9-4)! = 9*8*7*6*5 = 3024.

9*8*7 = 504 of them.

It is 415968.

There are 4 possible numbers if the digits are not repeated; 18 if they are. Those are 3-digit numbers, assuming that zero would not be a leading digit. If zero is allowed for a leading digit, then you can have 6 for the non repeated, and 27 if repetition.

You have seven different digits (symbols) to choose from, so you can form seven different one digit numbers and 7×7=72=49 different two digit numbers.

You can select 9 numbers for the first digit, 8 numbers for the second digit, and 7numbers for the third digit; so 504 (e.g. 9*8*7) different three digit numbers can be written using the digits 1 through 9.

20 of them, if repetition is not allowed.

# 230 # 203 # 320 # 302

1

Possible solutions - using your rules are:- 11,13,17,31,33,37,71,73 &77

Using the digits of 1345678, there are 210 three digit numbers in which no digit is repeated.

Without repetition, just one. In a combination the order of the numbers is irrelevant.

There are 2000 such numbers.

10

If repetition is permitted, then 216. Otherwise 120.

If no repetition, 6! ie 720; if repetition allowed, 66 ie 46656.