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alexandr402 [8]
4 years ago
10

I need to know how to work This

Mathematics
1 answer:
Natalija [7]4 years ago
5 0
See picture for the steps

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How did the Missouri Compromise keep peace between the North and South?
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Help answering thjs​
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How many 4-letter passords can be made using the letters A thought Z if...
mezya [45]

Answer:

a.)The total 4-letters passwords when repetition of letters is allowed are 456976

b.)The total 4-letters passwords when repetition of letters is not allowed are 358800

Step-by-step explanation:

Some situations of <em>probability</em> involve multiple events. When one of the events affects others, they are called dependent events. For example, when objects are chosen from a list or group and are not returned, the first choice reduces the options for future choices.

There are two ways to sort or combine results from dependent events. <em>Permutations</em> are groupings in which the order of objects matters. <em>Combinations</em> are groupings in which content matters but order does not.

How many 4-letter passwords can be made using the letters A throught Z if...

a)Repetition of letters is allowed?

There are only 26 possible values for each letter of the password (The English Alphabet consists of 26 letters). The total 4-letters passwords when repetition of letters is allowed are 26^{4} =456976

b) Repetition of letters is not allowed?

If repetition of  letters is not allowed, we can only choose 4 letters out of 26. Using the permutation equation nP_{k} =\frac{n!}{(n-k)!}

The total 4-letters passwords when repetition of letters is not allowed are 26P_{4} =\frac{26!}{(26-4)!}=26.25.24.23=358800

.

7 0
3 years ago
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