If the sequence is important, then there are (12 x 11 x 10 x 9 x 8) = 95,040 different ones.
If only the members of the group are important but not their the sequence, then
there are
95,040 / (5 x 4 x 3 x 2 x 1) = 792 combinations, each with different members.
The formulas are:
Permutations = 12! / 7!
Combinations = 12! / (7! x 5!)
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There are 15 combinations.
To calculate the number of combinations with three numbers, you would use the formula for combinations, which is nCr = n! / r!(n-r)!. In this case, n is the total number of numbers you have to choose from, and r is the number of numbers you are choosing. So, if you have three numbers to choose from, there would be 3C3 = 3! / 3!(3-3)! = 6 / (6*0!) = 6 / 6 = 1 combination.
Number of 7 digit combinations out of the 10 one-digit numbers = 120.
9999
You can make 5 combinations of 1 number, 10 combinations of 2 numbers, 10 combinations of 3 numbers, 5 combinations of 4 numbers, and 1 combinations of 5 number. 31 in all.