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From Goa to Bombay There Are Two Roots; Air, and Sea. from Bombay to Delhi There Are Three Routes; Air, Rail and Road. from Goa to Delhi via Bombay, How Many Kinds of Routes Are There?

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Question

From Goa to Bombay there are two roots; air, and sea. From Bombay to Delhi there are three routes; air, rail and road. From Goa to Delhi via Bombay, how many kinds of routes are there?

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Solution

Number of routes from Goa to Bombay = 2
Number of routes from Bombay to Delhi = 3
Using fundamental principle of multiplication:
Number of routes from Goa to Delhi via Bombay = 2\[\times\]3 = 6

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Chapter 16: Permutations - Exercise 16.2 [Page 14]

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R.D. Sharma Mathematics [English] Class 11
Chapter 16 Permutations
Exercise 16.2 | Q 3 | Page 14

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