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number combinations 1-80?
how many 10 digit number combinations are there for numbers 1-80
6 Answers
- EdwardLv 71 decade agoFavorite Answer
Are you into base system 80? (since you constraint was final 10 digit number.)
Then it is 80^10.
If you presume that number 10-80 to be counted as a 2 digit number part of the 10 digit then it gets a bit hairy.
- ChrisLv 51 decade ago
combination formula = (n!)/(r!(n-r)!)
let n = 80 and r = 10
= (80!)/(10!(80-10)!)
= (80!)/(10!(70!))
cancel 70!
= ( 80*79*78*77*76*75*74*73*72*71 ) / (10*9*8*7*6*5*4*3*2*1)
= (5974790569203456000) / (3628800)
= 1646492110120
So in conclusion there is 1,646,492,110,120 ways to arrange any 10 numbers between 1 to 80 in any order.
Source(s): Probability/Statistics books and texts - 1 decade ago
The number of combinations can be found using the following formula:
[number of options] ^ [number of digits]
80 ^ 10
So your answer is:
10,737,418,240,000,000,000
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- HelmutLv 71 decade ago
Each pair of digits has 170 posssible permutations of the numbers 1 thru 80, so the total number of permutations is 170^5 = 141,985,700,000