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Answer: There are 9,999 different combinations ina4-digit lock. And now we have1,000+9,000=10,000combinations total.
Considering this, what are all the possible combinations of 1234?
If you wager on 1234 boxed, you would win ifanyof the following combinations were drawn: 1234,1243,1324, 1342, 1423, 1432, 2134, 2143, 2314, 2341, 2413, 2431,3124,3142, 3214, 3241, 3412, 3421, 4123, 4132, 4213, 4231, 4312,or4321.
Beside this, how many combinations are there in a 5 digit lock?
Thus you have made 5 × 4 × 3 ×21 = 120 choices and there are 120 possible 5 digitnumbersmade from 1, 2, 3, 4 and 5 if you don't allowanydigit to be repeated. Now consider the possibilities with13as the first two digits.
64,000