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Snezhnost [94]
3 years ago
15

Someone you know is planning a wedding. They have still have decide on the place of the reception, the DJ, and the caterer. They

have narrowed it down to 2 reception halls, 3 DJs, and 2 catering companies. How many arrangements are possible for this wedding?
Mathematics
1 answer:
Aliun [14]3 years ago
7 0
So essentially, we have a choice of :

2 reception halls
3 DJs
2 catering companies.

In order to find the number of arrangements, you need to multiply those : 2*3*2=12- So they have 12 arrangements.

why?

Imagine those 3 Djs- they are three arrangements.
Now, they can play in one or the other hall -so in total it's 3 Djs in one hall and 3 in the other -that's 6.

And all of those 6 possibilities can be catered by one or the other company- making the possibilities twice as many, so it's 12 in total!
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Answer:

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Step-by-step explanation:

<u>Arithmetic Sequences</u>

The arithmetic sequences are identified because any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.

The equation to calculate the nth term of an arithmetic sequence is:

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We are given the first terms of a sequence:

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Find the common difference by subtracting consecutive terms:

r = -28 - (-12) = -16

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The first term is a1 = -12. Now we calculate the term n=61:

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a_{61}=-12-60*16=-12-960

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