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11 May 2021, 23:00
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
87% (01:03) correct
13%
(01:07)
wrong
based on 82
sessions
History
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There are 10 points on a circle. A hexagon can be formed by linking 6 of the 10 points. How many such hexagons are possible?
A. 60
B. 120
C. 200
D. 210
E. 600
A. 60
B. 120
C. 200
D. 210
E. 600
11 May 2021, 23:11
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There are 10 points on a circle. A hexagon can be formed by linking 6 of the 10 points. How many such hexagons are possible?
The number of possible hexagon is the number of choosing 6 point in 10 point= 10C6 = 10!/(6!4!)= 210
hence, choice D
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The number of possible hexagon is the number of choosing 6 point in 10 point= 10C6 = 10!/(6!4!)= 210
hence, choice D
Posted from my mobile device
rocky620
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14 May 2021, 08:24
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A hexagon will be formed in 10c6 ways, in which we select any 6 points of 10 = 210
But there will be 10 cases when all the selected 6 points will be adjacent. In these cases there will be no hexagon.
So total cases = 210-10 = 200
Option C
But there will be 10 cases when all the selected 6 points will be adjacent. In these cases there will be no hexagon.
So total cases = 210-10 = 200
Option C
