there are 10 numbers, 1-10. how many combinations of four can be derived from these ten numbers. the numbers can be repeated, i.e 0000, 1111. how many such combinations can be created by using numbers 1-10?
I'll appreciate it if someone can help for reals. if i am not wrong there is a formula, but i can't recall the formula.
thnx to all b4 hand!
2006-09-23 14:44:11 · 7 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
sorry the numbers are 0-9
2006-09-23 14:49:32 · update #1
You've got 10 choices for the first number, 10 for the second etc. So you've got 10x10x10x10= 10 000 possibilities.
2006-09-23 14:49:23 · answer #1 · answered by zee_prime 6 · 0⤊ 0⤋
If the numbers can be repeated then the total number of possibilities is equal to the number of possibilities for a digit raised to the power of the number of digits.
In your case 10^4 = 10,000, expressed as the counting numbers 0000 to 9999.
If you can't repeat a digit, then you have to use (n!/(n-k)!) where you are choosing k items from a set of n. Those are permutations.
2006-09-23 15:44:47 · answer #2 · answered by John T 6 · 0⤊ 0⤋
since you want it to be 4 digits, and 0000 to 0999 are actually 0, 1, 2, and 3 digits
10000 - 1000 = 9000 combinations.
now if this is suppose to be like a code breaker, then the answer would be 10000 combinations.
2006-09-23 15:15:24 · answer #3 · answered by Sherman81 6 · 0⤊ 0⤋
the first answer is right, not the second one.
0 -> 9 is still 10 numbers
think of it this way:
You have 4 digits, for each of them there are 10 possibilities:
_ _ _ _ 10 x 10 x 10 x 10 = 10,000
2006-09-23 15:02:23 · answer #4 · answered by Anonymous · 0⤊ 0⤋
Just like she said, but with only nine choices per spot. 9 to the fourth power is 6561 possible combos.
The general form for this kind of problem is C^S, where C is how many choices you have and S is how many spots.
2006-09-23 14:54:33 · answer #5 · answered by Mehoo 3 · 0⤊ 0⤋
well.. it is just a simple combinations. Since there are 10 choices in each available slot, we will just multiply four times like 10x10x10x10 which is equals to 10,000.. hope you understand..
2006-09-23 18:22:26 · answer #6 · answered by ricorig 2 · 0⤊ 0⤋
11100 are possible outcomes. for numbers of 1 - 10
2006-09-23 15:59:53 · answer #7 · answered by free aung san su kyi forthwith 2 · 0⤊ 0⤋