Question

In a survey of 300 android mobile users, who make video calls, 75 people said they use only Viber, 45 use only Skype and 90 people use both. The number of persons who use neither Viber nor skype is __.

Answer 1

Let U denote the set of surveyed mobile users. V denotes set of people using Viber and S denote set of people using Skype. Then, n(U) = 300, n(V ∩ S) = 90.

Number of people who use only Viber = 75

So, total number of people who use Viber n(V) = 75+90 = 165

Similarly, It is given that the number of people who use Skype = 45

So, total number of people who use Skype n(S) = 45 + 90 = 135

now, no. of persons who use neither Viber nor Skype is given as,

n(V^I ∩ S^I) = n(V ∪ S)^I

= n(U) - n(VUS)

= n(U) - [n(V)+n(S)-n(V∩S)]

= 300 - (165 + 135 - 90)

= 300 - 210

= 90