A set of integers is given as (3,6,8,14,17). What is the probability that a triangle can be constructed.?
Options:
 A. 35 B. 310 C. 110 D. 510

: B

Any 3 points can be selected in 5C3 i.e 10 ways. For forming a triangle sum of two sides should be greater than the 3rd side. Hence following set of integers can be selected (3,6,8) (6,8,17) (8,14,17) Hence P(Triangle is formed)= 310