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21 December, 17:24

The lock is numbered from 0 to 49. Each combination uses three numbers in a right, left, right pattern. Find the total number of possible combinations for the lock.

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  1. 21 December, 17:26
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    The correct answer is:

    125,000.

    Explanation:

    For the first turn, there are 50 numbers to choose from.

    On each turn of a lock, the numbers can be repeated; this means on the second turn, there are 50 numbers to choose from, and on the third turn, there are 50 numbers to choose from. This gives us:

    50³ = 50*50*50 = 125,000.
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