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3 years ago

FIND the number of combinations 8C2

Mathematics

1 answer:

Trava [24]3 years ago

8 0

Answer:

8c2 = 28

Step-by-step explanation:

You can plug this into your calculator (on a TI-84, it's MATH -> PRB -> 3) as 8 nCr 2.

Let's try to understand what the output means, though! The nCr function is based on Pascal's Triangle (see the attachment for a picture).

When we do 8 choose 2, we are basically thinking about having 8 possible values and 2 spots to fit them in, and we don't care about what order they're in. The probability of this is 8*7 / 2 = 28. Our answer makes sense!

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20 POINTS! Please look at the attached image!

Ira Lisetskai [31]

Answer:

a) 5^4 / 5^2, 5^2

b) 7^3 / 7^3, 7^0=1

c) 8^7/8^4, 8^3

Step-by-step explanation:

A quotient of two powers is basically the powers before its simplified. So for a 5 x 5 x 5 x 5 is 5 being multiplied by itself 4 times divided by 5 x 5 which is 5 being multiplied by itself 2 times. So this leads us to the conclusion that 5^4/5^2 for the quotient of two powers. Then using the rules of powers when dividing powers you subtract so in this case 4-2 is 2. So the answer is 5^2 for single power. The other problems are basically the same as well, just different numbers.

b) (7 x 7 x 7)/ (7 x 7 x 7)= 7^3/7^3=7^0=1

c)(8 x 8 x 8 x 8 x 8 x 8 x 8)/(8 x 8 x 8 x 8)= 8^7/8^4= 8^3

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3 years ago

Read 2 more answers

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kakasveta [241]

I think this is how it should look like

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3 years ago

Hello! <br> i need help with question 67 & 68

Anni [7]

Answer:

67. A

68. D

Step-by-step explanation:

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2 years ago

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2 years ago

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Phantasy [73]

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Step-by-step explanation:

3n=21

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