Sunday, October 5, 2014

JMO - number of ways

If you can travel from Mumbai to Baroda by 6 trains, from Baroda to Jaipur by 4 trains and from Jaipur to Delhi by 3 Trains. Then in how many ways can you travel from Mumbai to Delhi?


Answer:
Every train from Baroda to Jaipur has 3 ways of reaching Delhi. Since there are 4 trains from Baroda to Jaipur, therefore there are 3 + 3 + 3 + 3 = 3 x 4 = 12 ways of reaching from Baroda to Delhi.

Now for every single way of reaching to Baroda from Mumbai, there are 12 ways of reaching Delhi.
Since there are 6 trains from Mumbai to Baroda, we have 12 + 12 + 12 + 12 + 12 + 12 = 12 x 6 ways of reaching from Mumbai to Delhi.

therefore answer is 3 x 4 x 6 = 72

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