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Ilia_Sergeevich [38]
4 years ago
12

How many strings of eight uppercase English letters are there if no letter can be repeated?

Mathematics
1 answer:
Gemiola [76]4 years ago
7 0
............................3................................
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Answer:

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Step-by-step explanation:

Simplify the equation (\sin x-\cos x)^2=3:

\sin^2 x-2\sin x\cos x+\cos ^2x=3,\\ \\ (\sin^2x+\cos^2x)-2\sin x\cos x=3.\\

Since

\sin^2 x+\cos^2 x=1

and

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we have

1-\sin 2x=3,\\ \\\sin 2x=-2.

Since \sin 2x cannot be less than -1, this equation has no solutions.

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