Keyless door entries require you to input your 6 digit passcode in the correct order. How many different 6 digit passcodes can be created fr

Question

Keyless door entries require you to input your 6 digit passcode in the correct order. How many different 6 digit passcodes can be created from 10 digits, if all of the digits must be distinct?

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Neala 4 years 2021-07-19T03:59:09+00:00 1 Answers 17 views 0

Answers ( )

  1. thachthao
    0
    2021-07-19T04:00:51+00:00
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    Answer:

    151200

    Step-by-step explanation:

    We want to know how many permutations of 6 digits can be chosen from 10 different digits, so we use the formula:

    nPr=n!(n−r)!

    Here, r=6 and n=10, so we have:

    10P6=10!(10−6)!=10!4!=10⋅9⋅8⋅7⋅6⋅5⋅4!4!=151,200

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