Answer:
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- <u><em>Event A: 1/35</em></u>
- <u><em>Event B: 1/840</em></u>
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Explanation:
<u>Event A</u>
For the event A, the order of the first 4 acts does not matter.
The number of different four acts taken from a set of seven acts, when the order does not matter, is calculated using the concept of combinations.
Thus, the number of ways that the first <em>four acts</em> can be scheduled is:


And<em> the number of ways that four acts is the singer, the juggler, the guitarist, and the violinist, in any order</em>, is 1: C(4,4).
Therefore the<em> probability of Event A</em> is:

Event B
Now the order matters. The difference between combinations and permutations is ordering. When the order matters you need to use permutations.
The number of ways in which <em>four acts </em>can be scheculed when the order matters is:


The number of ways <em>the comedian is first, the guitarist is second, the dancer is third, and the juggler is fourth</em> is 1: P(4,4)
Therefore, <em>the probability of Event B</em> is:

9.75 x 7.2 = 70.2
Swimming Pool Area: 70.2
The Park Area: 70.2 x 1.5 = 105.3
Total Area of both Swimming Pool & Park area: 70.2 + 105.3 = 175.5
Final Answer: 175.5
<span>The correct answer is 6.
The clearest way to determine this is by creating a table of possible hand shaking. If we label the people A-D, the following are the ways they can be combined:
AB
AC
AD
BC
BD
CD
There are no other combinations. </span>
550 * 1.03 = 566.5 (Year 1)
566.5 * 1.03 = 583.495 (Year 2)
583.495*1.03 = 600.99985 (Year 3)
You can safely assume this is your answer: $601.00
Answer:
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Step-by-step explanation:
That is the answer sister-in-law