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Helga [31]
2 years ago
10

Ashlyn needs to bring a dessert to her dinner party. If the bakery has eight pies to choose from, how many ways can Ashlyn choos

e three?
Mathematics
1 answer:
Snowcat [4.5K]2 years ago
8 0

<u>Ashely have </u><u>56 ways</u><u> to choose from</u>

This question can be solved using a system in mathematics called Permutation and it's in a topic of mathematics called combinatorics.

<h3 /><h3>Permutation</h3>

This is the process of arranging a particular set of data in different ways.

Since Ashely is choosing 3 desserts out of 8 in no specific ways

P=\frac{n!}{(n-r)!}

Where n = total number of ways available

r = total numbers that would be selected.

Data given

  • n = 8
  • r = 3

Let's substitute these values into the equation.

P=\frac{8!}{(8-3)!3!} \\P=\frac{8*7*6*5*4*3*2*1}{5*4*3*2*1*3*2*1}\\P=56

From the calculation above, Ashley have 56 ways in which can choose 3 dessert from an 8 choice.

Learn more about permutation here;

brainly.com/question/11871015

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Evaluate the following real numbers:
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Cynthia Besch wants to buy a rug for a room that is 1919 ft wide and 2727 ft long. She wants to leave a uniform strip of floor a
yulyashka [42]

Answer:

The dimension of the rug would be 17 ft × 9 ft.

Step-by-step explanation:

Given

length of the room = 27 ft.

width of the room = 19 ft.

suppose, she leaves a uniform strip of x ft. around the rug.

So,

The length of rug = (27-2x)ft.

Width of rug= (19-2x)ft.

∴ Area of the rug= length×width

                            =  (27-2x)(19-2x)

                            =  513-54x-38x+4x^2

                            =   513-92x+4x^2

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x^2-23x+90=0

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x^2-18x-5x+90=0

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x-5=0 or x-18=0             ( zero product property)

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if x=18, dimension would be negative  ( Not possible)

Thus, x= 5

Hence,

length of rug= 27-10=17 ft.

width of rug= 19-10=9 ft.

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3 years ago
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