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Dahasolnce [82]
3 years ago
15

Harpo, Groucho, Chico, Zeppo, Gummo, Karl, and Skid have won three tickets to the opera. They will randomly choose three people

from their group to attend the opera. How many outcomes are possible?
Mathematics
1 answer:
Pie3 years ago
7 0

Answer:

35

Step-by-step explanation:

This is a combination problem therefore we need to use the combination formula using factorials, plug in the values for n and r which would be 7 since there are 7 individuals in the group and 3 because we are making outcomes of 3.

C(n,r)=C(7,3)

=7!(3!(7−3)!)

=7!3!×4!

= 35

Finally, we can see that the total number of possible outcomes is 35

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Phoebe, Andy and Polly share £270.
Stella [2.4K]
*Given
Money of Phoebe            - 3 times as much as Andy
Money of Andy                - 2 times as much as Polly
Total money of Phoebe,  - <span>£270
</span>    Andy and Polly

*Solution

Let
B - Phoebe's money
A - Andy's money
L - Polly's money

1. The money of the Phoebe, Andy, and Polly, when added together would total <span>£270. Thus, 
</span>
                  B + A + L  = <span>£270                     (EQUATION 1)

2. Phoebe has three times as much money as Andy and this is expressed as
  
                  B = 3A

3. Andy has twice as much money as Polly and this is expressed as

                  A = 2L</span>                           (EQUATION 2)
<span>
4. This means that Phoebe has ____ as much money as Polly, 

                 B = 3A
                 B = 3 x (2L)
                 B = 6L                            </span>(EQUATION 3)<span>

This step allows us to eliminate the variables B and A in EQUATION 1 by expressing the equation in terms of Polly's money only. 

5. Substituting B with 6L, and A with 2L, EQUATION 1 becomes, 

                  6L + 2L + L = </span><span>£270
</span>                                9L = <span>£270
</span>                                  L = <span>£30

So, Polly has </span><span>£30. 

6. Substituting L into EQUATIONS 2 and 3 would give us the values for Andy's money and Phoebe's money, respectively. 
</span>
                  A = 2L                           
                  A = 2(£30)
                  A = £60

Andy has £60

                  B = 6L                         
                  B = 6(£30)
                  B = £180

Phoebe has £180

Therefore, Polly's money is £30, Andy's is £60, and Phoebe's is £180.
7 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Ba%283%20%2B%20a%29%7D%7B3%7D%20%20%5Cleqslant%20%20%5Cfrac%7Bz%28a%20-%201%29%20%
Sindrei [870]
A= 15+z+ square root 17(z+15)/ z-2
z=2a^2/(a-1)^2 + 30a/(a-1)^2 - 15/(a-1)^2
6 0
4 years ago
Help me please asap
weeeeeb [17]
C is the answer to you question
3 0
3 years ago
Is anyone any good at Pre-Algebra? I need help.
Strike441 [17]

I'm OKAY at it, depends on the question

7 0
3 years ago
Read 2 more answers
Help :/ ill give brainly :&gt;
olga55 [171]

Answer:

A. Trapezoid

B. Isoclese triangle

c. Equilateral triangle

d. Kite

4 0
3 years ago
Read 2 more answers
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