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tatyana61 [14]
3 years ago
11

John is painting a picture.He has green, red, yellow, purple, orange and blue paint. He wants to use four different colors on th

is picture. If order does not matter, how many ways can John pick four colors for his picture, if one of them is green?
Mathematics
1 answer:
devlian [24]3 years ago
3 0

Answer:

I'm gonna say maybe 10..... yah 10

here's why

Answer:

In can pick in 10 ways.

Solution:

John has green, red, yellow, purple, orange, and blue paint = total 6 colours

he wants to have 4 different colours in the painting.

But in those 4 colors green is must, it should always be there.

So except green we have total 5 colours (red, yellow, purple, orange, and blue) from which we can pick any 3 colors(as green will be one in four colours).

Then we can choose 3 colours from 5 colours in x ways.  

x ways = = \left(\frac{5 !}{3 !(5-3) !}\right)=(3!(5−3)!5!)

=\left(\frac{5 !}{3 ! \times 2 !}\right)=(3!×2!5!)

=\frac{5 \times 4 \times 3 !}{3 ! \times 2 !}=3!×2!5×4×3!

=\frac{5 \times 4}{2}=25×4

=\frac{20}{2} = 10=220=10

Step-by-step explanation:

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What is a positive angle less than 360 degrees that is conterminal with -289 degrees
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The positive angle that less than 360° and is conterminal with -289° is 71°

Step-by-step explanation:

  • When a terminal of an angle moves anticlockwise, then it makes a positive angle with the positive part of the x-axis
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