Question: A combination lock displays 50 numbers. To open it, you turn to a number, then rotate clockwise to a second number, and then counterclockwise to

A combination lock displays 50 numbers. To open it, you turn to a number, then rotate clockwise to a second number, and then counterclockwise to the third number.

(a) How many different lock combinations are there?

(b) Comment on the description of such a lock as a combination lock.

48 49 50 1 2 3 4 6789 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2- 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 4. 9

48 49 50 1 2 3 4 6789 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2- 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 4. 9 20 21 22 23 24 25 26 27 28 29 30

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