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Vyshak
Code consists of 3 digits and no digit is repeated.
First digit of the code can have 20 possibilities
Second digit can have 19 possibilities
Third digit can have 18 possibilities
Total number of possible codes = 20*19*18 = 6840

Answer: B

How can you have a "3 digit" code using integers from 1-20. If you do pick 15, 17 and 19 for the code - it becomes a 6 digit code.

I don't agree with the explanation,
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MathRevolution
If each of 3 digit code form integers from 1 to 20, inclusively, and each of the digits are different, how many possible codes are there?

A. 6,040 B. 6,840 C. 6,240 D. 6,340 E. 8,440


--> 20*19*18=6,840. Therefore, the answer is B.

In the question, it is mentioned as each digit should be different .

Do we need to consider one 3 digit code should be different from the other 3 digit code ? If yes then your explanation is correct.

Or, we need to consider every single digit is different from the other one ?
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MathRevolution
If each of 3 digit code is formed of integers from 1 to 20, inclusively, and each of the digits are different, how many possible codes are there?

A. 6,040
B. 6,840
C. 6,240
D. 6,340
E. 8,440


* A solution will be posted in two days.

It can easily be written as \(20P3\) which means we're selecting 3 digits out of 20.

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