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Question
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
Answer: Option B
:
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

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