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Read the information given below and answer the questions that follow by choosing the most appropriate option. In a group of 40 friends, each person knows how to play at least one of the two games, sequence and ludo. 25 people know how to play sequence and 28 people know how to play ludo. How many people can play both sequence and ludo?

Read the information given below and answer the questions that follow by choosing the most appropriate option. In a group of 40 friends, each person knows how to play at least one of the two games, sequence and ludo. 25 people know how to play sequence and 28 people know how to play ludo. How many people can play both sequence and ludo? Correct Answer 13

Number of people who can play sequence = 25 = n(a) 

Number of people who can play Ludo = 28 = n(b)

Total people = 40 = n(aUb)

Number of people who can play both sequence and ludo = n(a∩b)

n(aUb) = n(a) + n(b) - n(a∩b)

⇒ 40 = 25 + 28 - n(a∩b)

⇒ n(a∩b) = 53 - 40 = 13 = Number of people who can play both sequence and ludo

 

 

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