If a combination lock has 3 numbers slots ranging from 0 - 9 how many different combinations are there ? - how many combinations does my lock have
Ten digits 0-9 and three of them. Thus the number of permutations of (what they are) of 1000 From 000 to 999
Monday, February 1, 2010
How Many Combinations Does My Lock Have If A Combination Lock Has 3 Numbers Slots Ranging From 0 - 9 How Many Different Combinations Are There ?
5 comments:
10 * 10 * 10 = 1000
9x9 = 81x9 = 729
assume the numbers are repeated
10 x 10 x 10 = 1000
Note: including 000
Let
S1 = 1 slot
S2 = 2 slot
S3 = 3-slot
Combination = S1 S2 S3
Under the assumption that the combination with the castle, in what order
can the clock or counter-clockwise
There are 20 possibilities for S1 (0-9, clock and counter-clockwise)
20 Options for S2
20 Options for the S3
Is the total number of options
20 * 20 * 20 = 8000
1000,
If you are 0, when 0 is on the dial, then click Yes.
10 ^ 3, or a total of nine points 9 ^ 3 (= 729)
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