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17 Feb 2016, 23:03
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D
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In a certain circle there are 10 points. What is the number of the triangles connecting 3 points of the 10 points?
A. 80
B. 96
C. 108
D. 120
E. 132
* A solution will be posted in two days.
A. 80
B. 96
C. 108
D. 120
E. 132
* A solution will be posted in two days.
vivekkumar987
17 Feb 2016, 23:16
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IMO : D
HERE we have to select 3 points out of 10 points. Order is not important
So the answer will be 10c3 = 120
HERE we have to select 3 points out of 10 points. Order is not important
So the answer will be 10c3 = 120
20 Feb 2016, 23:24
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In a certain circle there are 10. What is the number of the triangles connecting 3 points of the 10 points?
A. 80
B. 96
C. 108
D. 120
E. 132
--> If you connect 3 points out of 10, they make a circle. So, 10C3=10*9*8/3*2*1=120. Therefore, the answer is D.
A. 80
B. 96
C. 108
D. 120
E. 132
--> If you connect 3 points out of 10, they make a circle. So, 10C3=10*9*8/3*2*1=120. Therefore, the answer is D.
