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if three distinct numbers are selected from the set of first 20 natural numbers, then the probability that they are in GPis equal to?

if three distinct numbers are selected from the set of first 20 natural numbers, then the probability that they are in GPis equal to?

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Grade:12

1 Answers

sahil
142 Points
6 years ago
Option 3 is correct answer.We will use smart way to calculate first according to probability any event probability is= no of favourable outcome/total outcomeSol: Total outcome is 20C3 or 20!/17!×3! =20×19×18/3!=20×19×3=60×19=1140 .Now no of fav outcome is 16.You can find it by simple observation and gp simple form.Now probablity is 16/1140=4/285;Hence 3rd option is required answer

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