# Of the 200 candidates who were interviewed for a position at a call center, 100 had a two-wheeler, 70 had a credit card and 140 had a mobile phone. 40 of them had both, a two-wheeler and a credit card, 30 had both, a credit card and a mobile phone and 60 had both, a two wheeler and mobile phone and 10 had all three. How many candidates had none of the three?

raj kaushik
26 Points
13 years ago
Number of candidates who had none of the three = Total number of candidates - number of candidates who had at least one of three devices.

Total number of candidates = 200.

Number of candidates who had at least one of the three = A U B U C, where A is the set of those who have a two wheeler, B the set of those who have a credit card and C the set of those who have a mobile phone.

We know that AUBUC = A + B + C - {A n B + B n C + C n A} + A n B n C

Therefore, AUBUC = 100 + 70 + 140 - {40 + 30 + 60} + 10

Or AUBUC = 190.

As 190 candidates who attended the interview had at least one of the three gadgets, 200 - 190 = 10 candidates had none of three.
raja kapoor
26 Points
13 years ago

THANX

sakshi zutshi
18 Points
10 years ago

A computer password consists of a letter of alphabet followed by three or four digits. Find the total number of passwords that can be formed.

anuj
21 Points
6 years ago
Totally there are 200