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1.How many diagonals does a convex dodecagon 12 (-gon) have?

2.Kathy tossed a coin 8 times and got 3 heads and 5 tails. How many different sequences of results could she have gotten?

3. There are n different points on a circle. The number of triangles whose vertices are among the n points is positive, and equal to the number of hexagons whose vertices are among the n points. What is n?

4. There are 7 dots on a circle. What is the maximal number of intersection points outside the circle created by connecting these points with lines?

 May 1, 2021
 #1
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+2

answer to number one is 54 :)

 May 1, 2021
 #2
avatar+202 
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thxs bro :)

mathisopandcool  May 1, 2021
 #3
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2.Kathy tossed a coin 8 times and got 3 heads and 5 tails. How many different sequences of results could she have gotten?

 

8! / ( 3!  * 5!)  =   56  identifiable  sequences

 

 

cool cool cool

 May 1, 2021
 #4
avatar+202 
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thx u :)

mathisopandcool  May 1, 2021
 #5
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+1

one post = one question.

 

Do not post all your homework for other people to do for you.

 May 1, 2021

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