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Deffense [45]
3 years ago
15

20. There are 15 members of the show choir. In how many ways can you arrange 4 members in the front row when order does not matt

er?
Mathematics
2 answers:
sladkih [1.3K]3 years ago
8 0
Say that the front four people's names are John, Kathy, Mia, and Alex, in that order. You can arrange them as follows.

John, Kathy, Alex, Mia
John, Alex, Kathy, Mia
John, Alex, Mia, Kathy
John, Mia, Alex, Kathy
John, Mia, Kathy, Alex
Alex, John, Kathy, Mia
Alex, John, Mia, Kathy
There are many more, but my guess would be 16 combinations. Test for yourself if you don't think thats right!
Aleonysh [2.5K]3 years ago
5 0
The first chair can be any  one of the 15.
   For each of those ...
The second chair can be any one of the remaining 14.
      For each of those ...
The third chair can be any one of the remaining 13.
   For each of those ...
The fourth chair can be any one of the remaining 12.

Number of ways to fill the 4 chairs = (15 x 14 x 13 x 12) = 32,760 .

But ...

Each set of 4 people can be seated in (4 x 3 x 2 x 1) = 24 orders.
So each group of 4 people is represented 24 times among the 32,760.

If the order doesn't matter, you're really asking how many different
groups of 4 people can occupy the front row.

That's        (32,760) / (24) = 1,365 sets of 4 members, in any order.
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The product of 25 and an unknown number is subtracted from 36. The result is -114.
svetlana [45]
Let x = the unknown number to get x = 6

3 0
4 years ago
Compare 8^0 and 8^-2. which is greater? Explain your reasoning.
aev [14]

Hello there!

8^0 amd 8^-2


Let me start with 8^-2

8^-2 = 1/8 * 8

8^-2 = 1/64

which equals to 0.015625 in decimal


8^ 0 =  1

Yep, that's the answer! Easy, isn't? Well you may have been wondering why 8^0 is equal to 1.

I quoted an explanation online that says:    Think of "multiplication" as always including an extra "1" as a multiplier.

So it'd be like

8^ 0

8/8 = 1


Remember: Whenever a number has an exponent 0, the answer MUST be 1.


Thus,

8^0 is greater. As you can see, it is equal to 1, while the other one is equal to 0.01


I'm terrible at explaining stuff. I hope you find this answer somehow helpful :)

4 0
4 years ago
Read 2 more answers
3 out of 5 students say yes if there are 105 students how many say yes
dangina [55]

Answer:

63 students said yes.

Step-by-step explanation:

105/5= 21

21*3= 63

3 0
3 years ago
Read 2 more answers
10 + (2 x 3)2 ÷ 4 × (3 x 1/2)?
Ad libitum [116K]

Answer:

14.5

Step-by-step explanation:

10 + (2 x 3)2 ÷ 4 × (3 x 1/2)

10 + (6)2 / 4 * (1.5)

10 + 12 / 4 * 1.5

10 + 3 * 1.5

10 + 4.5

14.5

3 0
3 years ago
Read 2 more answers
I'm a little confused so I have no need for an explanation just answer honestly
Kipish [7]
Y=105 and X=25
Hope this helps
6 0
3 years ago
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