The dial on a combination lock contains markings which represent the numbers from 0 to 39. How many 3- number combinations are possible if the first and the second must be different odd numbers, while the third number must not be an odd number?.

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24-10-2022
Mathematics

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The dial on a combination lock contains markings which represent the numbers from 0 to 39. How many 3- number combinations are possible if the first and the second must be different odd numbers, while the third number must not be an odd number?.

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varshamittal029 varshamittal029 · Answer 1 · 2022-11-02T13:05:04-04:00

There are 64000 distinct combinations .

The dial for the standard combination lock is fastened to a spindle. The spindle travels through many wheels and a drive cam inside the lock. Every number has one wheel, hence the number of wheels in a wheel pack depends on how many numbers are in the combination.

The lock uses the numbers 0 to 39 and has 64,000 distinct combinations.

How many possible three-number combinations are there?

You have 10 options for the first digit, 9 options for the second digit, and 8 options for the third digit, giving you 10x9x8 = 720 if you want all three possible numbers with no duplication of the digits.

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