There are 5 performers who will present their comedy acts this weekend at a comedy club. One of the performers insists on being the first stand-up comedy of the evening. If this performer's request is granted, how many different ways are there to schedule the appearances?

Answers

Answer 1

Answer: We have to use basic combinatorics to solver his problem. We first have to determine what kind of problem this is.

Does order matter in this question? Yes it does. So it is a permutation.

Is is a permutation with repetition? No, because once a performer goes, they cannot perform again. Hence, we have defined this problem as a permutation without repetition. The formula for this kind of question is:

$(n!)/((n-r)!)$

Where n is the number of things we choose from, and p is the number of places we want to put them in.

There are 4 places for 4 performers, because 1st performer, lets call him Joe, has already taken the 1st spot. Hence, we substitute our values:

$(4!)/((4-4)!)$

= $4!$

= $24$

There are 24 different ways to schedule this performance.

Hope this helped!

Sincerely,

~Cam943, Junior Moderator

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if you earn $8 per hour after taxes are taken out of your paycheck and your insurance is $200 a month, how many hours will you have to work to pay for insurance?

Answers

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How do I write 88.691 as a mixed number?

Answers

88.691 is 88 691/1000 as a fraction

What is negative 5/12 minus 7/9

Answers

-5/12 - 7/9 =-43/36
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either -1.194444444, or -43/36

the area of a rectangle is 54x^9y^8 square yards if the length of the rectangle is 6x^3y^4 yards what expression represents the width of the rectangle in yards

Answers

For this case we have:
The area of a rectangle is given by:
A = (w) * (l)
Where,
w: width
l: long
Substituting values we have:
(54x ^ 9y ^ 8) = (w) * (6x ^ 3y ^ 4)
Clearing w we have:
w = (54x ^ 9y ^ 8) / (6x ^ 3y ^ 4)
Rewriting:
w = (9 * x ^ 6y ^ 4)
Answer:
the length of the rectangle is:
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A line segment is drawn from (+6, +4) to (+9, +4) on a coordinate grid.Which explains one way that the length of this line segment can be determined?

A.
Add 9 + 6.

B.
Add 6 + 6.

C.
Subtract 9 – 6.

D.
Subtract 6 – 6.

Answers

Letter c. add 9-6 explains one way that the length of this line segment can be determined. In order to verify this for yourself, you can plot these two point on a Cartesian coordinate plane and manually measure the length of the line. Mathematically, the length of a line may be calculated by the distance formula given as: sqrt[(x2-x1)^2+(y2-y1)^2]

What is the sign of the answer? (2.9) ∙ (–5) ∙ (0.7) ∙ (18) ∙ (–3)
a. positive
b. negative

Answers

Rules:
$- * - =+$
$+ * +=+$
$- *+ =-$
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Solution:
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The answer is positive

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