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Ksenya-84 [330]
3 years ago
10

A 3 letter password from the letters a b c and d the password cannot have the same letter repeated in it how many such passwords

are possible
Mathematics
1 answer:
iren2701 [21]3 years ago
3 0

Answer:

24\ passwords

Step-by-step explanation:

Total\ available\ characters=4(a,b,c,d)\\\\ We\ want\ to\ choose\ 3\ of\ them.\\Here\ order\ matters\ (for\ example\ abc\ and\ acb\ are\ two\ different\ passwords) \\Hence\ we\ have\ to\ take\ permutation\ to\ count\ total\ possibilities.\\\\Total\ number\ of\ passwords=^4P_3\\\\Total\ number\ of\ passwords=\frac{4!}{(4-3)!}\\\\Total\ number\ of\ passwords=\frac{4!}{1!}\\\\Total\ number\ of\ passwords=24

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