1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Elena-2011 [213]
3 years ago
8

On Halloween, a man presents a child with a bowl containing eight different pieces of candy. He tells her that she may have thre

e pieces. How many choices does she have
Mathematics
1 answer:
likoan [24]3 years ago
3 0

Answer:

56 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 <u><em>does not</em></u> 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 6)

=56

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

You might be interested in
The skoblickis are building a new home. The scale drawing below shows their master bedroom. Find the length and width of the act
jolli1 [7]

Answer:

Length: 20

Width:15

Step-by-step explanation:

Hope this Helps!

3 0
2 years ago
A biology student wants to determine if using a fertilizer would help promote the growth of new babies in spider plants. The stu
sveticcg [70]

Answer:

Randomized block design

Step-by-step explanation:

From the question, we can see the following:

- There are 30 plants of each variety. This means that they are divided into variety subgroups which we will call blocks.

- Now, we are told each plant in each block all are potted in the same amount and type of soil, given the same amount of water, and exposed to the same amount of light. This means that each plant in each block is assigned a treatment condition.

- The procedure is repeated by subjecting each plant one after the other in teach Block to different treatments and this will reduce variability.

Looking at all the statements above, it is clear that this is a randomized block design because a randomized block design is when the experimenter/researcher divides members/participants into subgroups called blocks in a manner that the variability within the blocks is less than the variability between the blocks. Thereafter, the participants within each block will now be randomly assigned to treatment conditions.

7 0
3 years ago
Read 2 more answers
Need help solving for X
Inessa05 [86]
You can find the complementary angle for 28° first, which is 90°-28°=62°. Since this is a right triangle, you can then use trigonometry to find x (the hypotenuse). You have the angle and the adjacent side, so plug and play:

cos 62° = 350 / x
x = 350 / cos 62°
x = 745.5 ft
8 0
3 years ago
Read 2 more answers
If f (1)= -2, then the point is on the graph of f
Komok [63]
<h3>Answer:  (1, -2)</h3>

Explanation:

Writing f(1) = -2 means x = 1 and y = f(x) = -2 pair up together

So we have (x,y) = (1, -2) as the point on the f(x) curve.

6 0
3 years ago
What is the simplified answer to 5/2
Yanka [14]
Maybe it the mixed number form. 2 1/2?
8 0
3 years ago
Other questions:
  • Which expressions show the expanded form for 50.029? Choose all answers that are correct. A. 5 × 10 + 0 × 1 + 0 × + 2 × + 9 × B.
    7·2 answers
  • Suppose C is a 3 x 3 matrix such that det (C) = 4. Show that det (C+C) is equal to 32
    6·1 answer
  • 70 thousand written in standard form or word form explain
    11·2 answers
  • Charlene had 5,750 pieces of penny candy. She sold 3/5 of them and divided rest into 5 equal bags to give her friends for Hallow
    11·1 answer
  • F(x)= -(x+7)²+4. Which of the following is true for f(x). Check all that apply
    13·1 answer
  • A crew of highway workers paved 3/20 mile in 40 minutes if they work at the same rate what proportion of a mile well they paid i
    8·1 answer
  • Able, ben and cal each played a game.
    6·1 answer
  • In college, what happens when you don't do your work?
    12·1 answer
  • 5. What is the volume of the rectangular prism?
    5·1 answer
  • Plss hellppp. Worth 10 points&lt;3
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!