Find all the powers of 3 that are in the range 3 through 1,000.

2 answers:

8 0

3 to the first is 3
3 to the second is 9
3 to the third is 27
3 to the fourth is 81
3 to the fifth is 243
3 to the sixth is 729

AlekseyPX3 years ago

7 0

3 9 27 81 243 729 are all the powers of 3 that are in the range 3 through 1,000

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Answer:

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Event B: 1/840

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Event A

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The number of ways in which four acts can be scheculed when the order matters is:

$P(m,n)=\dfrac{m!}{(m-n)!}$

$P(m,n)=\dfrac{7!}{(7-4)!}=P(m,n)=\dfrac{7!}{4!}=840$

The number of ways the comedian is first, the guitarist is second, the dancer is third, and the juggler is fourth is 1: P(4,4)

Therefore, the probability of Event B is:

$P(B)=1/840$

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