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A home alarm system has a 3-digit code that can be used to deactivate the system. If the homeowner forgets the code, how many different codes might the homeowner try?

My mom was fighting me about the answer to this problem, so I would appriciate it greatly to get the answer. Thanks. =]

2006-10-18 13:57:10 · 12 answers · asked by wwedivajenn619@sbcglobal.net 1 in Science & Mathematics Mathematics

12 answers

No such thing as a stupid math question.

The answer is the 3 digit combinations from 000 to 999 which is 1000 different codes.

2006-10-18 14:01:28 · answer #1 · answered by spongeworthy_us 6 · 3 0

There are 10^3 = 1000 trials from 000 to 999

10 because all the possible digits are from 0 to 9
3 because of code of 3 digits

2006-10-18 21:07:48 · answer #2 · answered by m_ahmed81 2 · 0 0

There are three digits. The first one has ten choices 0 -9 the second has the same ten choices and the third has the same. There for there are 10^3 or 1000 different combinations.

2006-10-18 21:00:54 · answer #3 · answered by mathteacher 2 · 1 0

1000 different choices!

Your possible codes are just merely all the three-digit numbers, from "000" through "999". There are 1000 such numbers. (Notice it's 1000 not 999, because you start counting 1 at 000)

HTH! :-)

2006-10-18 20:59:20 · answer #4 · answered by I ♥ AUG 6 · 2 0

Not enough information was provided. It would depend on whether the system uses numbers 1-9 or 0-9 and whether 000 is valid. If 0-9 and 000 is valid, then 1000. If 000 not valid, then 999. If 1-9 then 730.

2006-10-18 22:57:24 · answer #5 · answered by Rex 4 · 0 2

all 3 digits from 000 to 999? exactly 1000 possibilities.

2006-10-18 21:48:21 · answer #6 · answered by yupchagee 7 · 0 0

If its a keypad with numbers 1-9 then there are 10 possibilities for each digit. 10x10x10 = 1000

2006-10-18 21:06:31 · answer #7 · answered by davidosterberg1 6 · 0 0

Try from 000 to 999; (1000 different combinations)
or
10c1 x 10c1 x 10c1 = 1000

2006-10-18 20:59:48 · answer #8 · answered by Calculus 5 · 1 0

1000 combinations (from 000 to 999)

2006-10-18 21:01:00 · answer #9 · answered by Dr. J. 6 · 0 0

10 cubed or 1000

2006-10-18 21:17:13 · answer #10 · answered by butlerhotdog 1 · 0 0

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