# 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? - Mathematics

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?

#### 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

Concept: Combination
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#### APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 16 Permutations
Exercise 16.2 | Q 3 | Page 14