A Businessman can take one (1) of four (4) trains or three (3) busses to commute

Question

A Businessman can take one (1) of four (4) trains or three (3) busses to commute to New York city for work and can return home on one (1) of three (3) trains or can he can get a ride with a neighbor. How many itineraries are possible for his commute?

The UN Security Council consists of five (5) Permanent Members and 10 nonpermanent members. Decisions made by the Security Council require 10 votes to pass. However, any of the Permanent Members can block the passage of a decision. Assuming no abstentions, in how many ways can the Security Council pass a decision, if all 15 members vote?

Explanation / Answer

A Businessman can commute to New York city for work in 4+3 - 7 ways

and can return home in 3+1 = 4 ways

So number of  itineraries are possible for his commute is 7*4 = 28.

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