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Alja [10]
3 years ago
10

The table shows the charges for using an internet service. Nicholas use the internet service for 16 hours and 40 Minutes last mo

nth. A.) Under which plan would he have to pay less? B.) How much less?
Plan A- upto 10 hrs : $6

Every subsequent 1/2 hour: $1


Plan B- upto 12 hours: $4

Every subsequent 1/2 hour: $2

Mathematics
1 answer:
yanalaym [24]3 years ago
7 0

Answer:

<u>A. Nicholas will have to pay less using plan A</u>

<u>B. He will pay US$ 4 less than plan B</u>

Step-by-step explanation:

Let's compare how much Nicholas will pay on internet service in Plan A and plan B, after using it 16 hours and 40 minutes.

Plan A

Up to 10 hours = US$ 6

Every subsequent 1/2 hour: $1

10 hours + 14 (1/2 hour)

<u>Nicholas will pay 6 + 14 * 1 = US$ 20</u>

Plan B

Up to 12 hours = US$ 4

Every subsequent 1/2 hour: $2

12 hours + 10 (1/2 hour)

<u>Nicholas will pay 4 + 2 * 10 = 24</u>

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Answer:

See below

Step-by-step explanation:

Permutation is to select an object then arrange it and it cares about the orders while Combination is about only selecting an object without caring the orders.

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where n is a number of total object and r is a number of selected object to arrange. Hence. n cannot be less than r.

Now let's see an example of permutation, suppose we have letter A, B and C. I'd like to know how many ways these words can be arranged:

Since there are 3 letters total and 3 selected letters to arrange then:

\displaystyle{_3 P _3 = \dfrac{3!}{(3-3)!}}\\\\\displaystyle{_3 P _3 = \dfrac{3 \times 2 \times 1}{0!}}\\\\\displaystyle{_3 P _3 = \dfrac{6}{1}}\\\\\displaystyle{_3 P _3 = 6}

Therefore, there are 6 ways to arrange the letters - we can also demonstrate visually:

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----

Combination can be expressed mathematically as:

\displaystyle{_n C _r = \dfrac{n!}{(n-r)!r!} = \dfrac{_n P _r}{r!} \ \ \ (n \geq r) }

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Since there are 3 letters total and 3 selected letters:

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Hence, there is only one way to select 3 letters. This makes sense because if you have 3 letters then you can only select 3 letters only one way.

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Free Points!!! (25pts)
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Read 2 more answers
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