Mathematics, 09.08.2021 22:10, s1871407

On Halloween, a man presents a child with a bowl containing eight different pieces of candy. He tells her that she may have three pieces. How many choices does she have

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answered: dion27

choices

Step-by-step explanation:

We know that we'll have to solve this problem with a permutation or a combination, but which one do we use? The answer is a combination because the order in which the child picks the candy does not matter.

To further demonstrate this, imagine I have 4 pieces of candy labeled A, B, C, and D. I could choose A, then C, then B or I could choose C, then B, then A, but in the end, I still have the same pieces, regardless of what order I pick them in. I hope that helps to understand why this problem will be solved with a combination.

Anyways, back to the solving! Remember that the combination formula is

$_nC_r=\frac{n!}{r!(n-r)!}$ , where n is the number of objects in the sample (the number of objects you choose from) and r is the number of objects that are to be chosen.

In this case, n=8 and r=3 . Substituting these values into the formula gives us:

$_8C_3=\frac{8!}{3!5!}$

$= \frac{8*7*6*5*4*3*2*1}{3*2*1*5*4*3*2*1}$ (Expand the factorials)

$=\frac{8*7*6}{3*2*1}$ (Cancel out 5*4*3*2*1 )

$=\frac{8*7*6}{6}$ (Evaluate denominator)

=8*7 (Cancel out )

=56

Therefore, the child has $\bf56$ different ways to pick the candies. Hope this helps!

answered: Guest

the most boring ever written

step-by-step explanation:

i am writing something. yes, i plan to make it the most boring thing ever written. i go to the store. a car is parked. many cars are parked or moving. some are blue. some are tan. they have windows. in the store, there are items for sale. these include such things as soap, detergent, magazines, and lettuce. you can enhance your life with these products. soap can be used for bathing, be it in a bathtub or in a shower. apply the soap to your body and rinse. detergent is used to wash clothes. place your dirty clothes into a washing machine and add some detergent as directed on the box. select the appropriate settings on your washing machine and you should be ready to begin. magazines are stapled reading material made with glossy paper, and they cover a wide variety of topics, ranging from news and politics to business and stock market information. some magazines are concerned with more recreational topics, like sports card collecting or different kinds of hairstyles. lettuce is a vegetable.

answered: Guest

the answer is mp

step-by-step explanation: