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2 January, 14:22

In a class of 40 students, 5 like neither Nokia nor

Techno. 30 like Techno and Nokia. How many

students like only Nokia if altogether 35 like Techno?

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Answers (1)
  1. 2 January, 16:02
    0
    The number of students that like only Nokia

    = 30

    Step-by-step explanation:

    consider N the number of students who like Nokia → N=?

    T the number of students who like Techno → T=35

    Statement 1: In a class of 40 students, 5 like neither Nokia nor Techno

    we can translate it like this: 35 student like Nokia or Techno

    we can note it like this : T∪N = 35

    Statement 2: 30 like Techno and Nokia

    we can note it : T∩N = 30

    using a rule concerning the number of element of a set:

    T∪N = N + T - T∩N

    then

    35 = N + 35 - 30

    ⇒ N - 30 = 0

    ⇒ N = 30
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