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SpyIntel [72]
1 year ago
11

A restaurant offers a special pizza with any 5 toppings. if the restaurant has 16 topping from which to choose, how many differe

nt special pizzas are possible?
Mathematics
1 answer:
Mariana [72]1 year ago
5 0

By permutation without repetition, there are 524160 possible different special pizzas.

The possible special pizzas can be calculated with permutation without repetition. The formula of permutation without repetition can be written as

P = n! / (n - k)!

where P is all of the possible combinations, n is the number of objects or elements, and k is how many numbers should be chosen.

From the question above, we know that :

n = 16

k = 5

By substituting the parameters, we can determine all of the possible different pizzas

P = n! / (n - k)!

P = 16! / (16 - 5)!

P = 16! / 11!

P = 16 x 15 x 14 x 13 x 12 x 11! / 11!

P = 524160

Hence, there are 524160 possible different special pizzas

Find out more on permutation without repetition at: brainly.com/question/1216161

#SPJ4

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Evaluate the statistics expression:39C1
Aleksandr-060686 [28]
<h3>Answer:  39</h3>

========================================================

Explanation:

You can use the nCr formula shown below

_n C _r = \frac{n!}{r!*(n-r)!}

where n = 39 and r = 1. However, you could also use the identity

_n C _{1} = n

which basically says there are n ways to pick 1 item if you are given a choice of n items. In this specific case, we have 39 items total, and there are 39 ways to pick one item.

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3 years ago
I need help for number 5. Plz
iogann1982 [59]
5/3 each friend gets 3/5 of the trail mix
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3 years ago
Read 2 more answers
PLEASE HELP!
fenix001 [56]

Answer:

No

Step-by-step explanation:

No because (1,2) falls on the line, and the line is a dotted line, which means that any point on the line is not a solution to the inequality.

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3 years ago
Help!! If anyone could help, I’ll give Brainly! :) thank you so much
OLga [1]

9514 1404 393

Answer:

  $50

Step-by-step explanation:

The compounding period is 1 year, and the period of concern is 1 year. This means the simple interest formula will tell the answer to the question.

  I = Prt

  I = ($5000)(0.01)(1) . . . . . r = annual rate; t = years

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3 years ago
The circle with center O has a minor arc BSA with a length of
tangare [24]

Answer:

D. \frac{27\pi}{2} inches.

Step-by-step explanation:

We have been given that the circle with center O has a minor arc BSA with a length of 3\pi^{2} inches. The central angle is 40°.

To find the circumference of circle we will use formula:

\frac{\text{Central angle}}{2\pi}=\frac{\text{Arc length}}{2\pi r}, where 2\pi= measure of 360 degrees in radians and 2\pi r= circumference of circle.  

Let us convert measure of central angle into radians.                        

40^{o}=\frac{40*\pi}{180} =\frac{2\pi}{9}

Upon substituting our given value in the formula we will get,        

\frac{\frac{2\pi}{9}}{2\pi}=\frac{\frac{3\pi}{2}}{2\pi r}

\frac{2\pi}{18\pi}=\frac{3\pi}{4\pi r}    

\frac{1}{9}=\frac{3}{4r}      

Cross multiplying we will get,      

4r=27  

r=\frac{27}{4}

Hence, the radius of our circle is 27/4 inches.  

Since the circumference of circle is 2\pi r. Upon substituting  r=\frac{27}{4} we will get,

2\pi r=2\pi* \frac{27}{4}=\frac{27\pi}{2}

Therefore, circumference of our given circle will be \frac{27\pi}{2} inches and option D is the correct choice.

6 0
2 years ago
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