1680 any 4 from 8 is factorial 8 divided by factorial 4 8*7*6*5*4*3*2*1/4*3*2*1 = 8*7*6*5 = 1680
36
There are 3 values (1, 2, 3) for each of the 4 digits. Therefore, there are 3*3*3*3 or 81 four digit numbers that can be formed.
To form a four-digit number without repeating any digits from 56789, we need to choose 4 different digits out of the 5 available. This can be done in 5 choose 4 ways, which is equal to 5! / (4! * (5-4)!) = 5 ways. Therefore, there are 5 four-digit numbers that can be formed out of 56789 without repeating any digits.
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120 There are 6 digits in total. The numbers with 3 digits, with all digits distinct from each other, are the permutations of the 6 digits taken 3 at a time, and therefore there are 6*5*4 = 120 of them.
24
500
1 set
It is 120 if the digits cannot be repeated.
5040 different 4 digit numbers can be formed with the digits 123456789. This is assuming that no digits are repeated with each combination.
3x3x3=27
6*6*3 = 108 numbers.
36
4*3*2*1 = 24
6*5*4*3*2*1=720 possible numbers
48 of them if digits may not be repeated. 100 if they can.
There are 5! = 120 such numbers.