Q.
A regular polygon of 10 sides is constructed. No. of ways 3 vertices be selected so that no two vertices are consecutive is
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a
40
b
50
c
60
d
45
answer is B.
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Detailed Solution
No of ways of selecting 3 from 10 vertices=10c3=120 Two consecutive=10×6c1=60 Three consecutive=10 =120−60−10=50 or =n(n−4)(n−5)6=50
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