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maw [93]
3 years ago
7

What is the probability that a phone number generated using the digits 1, 2, 2, 4, 5, 5, 6, and 2 is the number 654-5222

Mathematics
1 answer:
pochemuha3 years ago
7 0

Answer:

336 ways

Step-by-step explanation:

The digits are 1, 2, 2, 4, 5, 5, 6, and 2 that is total eight digits.

The number 654-5222 contains 7 digits.

So, we have find The number of permutations for choosing 7 digits from 8 digits given above.

This can be done in following ways

\frac{8!}{3!\times2!} = \frac{40320}{6\times2}

= 336 ways

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u=x^n\implies\mathrm du=nx^{n-1}\,\mathrm dx

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\displaystyle I(n)=x^ne^x-n\int x^{n-1}e^x\,\mathrm dx

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I(5)=(x-5)x^4e^x+20(x^3e^x-3I(2))=(x^2-5x+20)x^3e^x-60I(2)

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