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A password for a website must have 4 different digits. What is the probability a password chosen at random is 7654?

Please show work thanks

User Kontekst
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1 Answer

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The 1st digit is 1 out of 10 numbers

The 2nd digit is 1 out of 9 numbers

The 3rd digit is 1 out of 8 numbers

The 4th digit is 1 out of 1 numbers.

Total combinations are 10 x 9 x 8 x 7 = 5040

Since the combination 7654 is one out of the total the probability would be 1/5040

User Yuri Zarubin
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