How many employees use all the three types of transports?
Explanation:
Let the number of people using all three types of transports = x.
∴ n(Bi ∪ Ca ∪ Bu) = n(Bi) + n(Ca) + n(Bu) – [n(Bi ∩ Ca) + n(Ca ∩ Bu) + n(Bu ∩ Bi)] + n(Bi ∩ Ca ∩ Bu)
⇒ (500 - 15) = 250 + 170 + 300 – [65 + 74 + 136] + x ⇒ 485 = 720 – 275 + x ⇒ x = 40
We can make the following Venn Diagram.
∴ Number of people using all three types of transports = 40
Hence, 40.
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