CA Foundation · Quantitative Aptitude · Permutations and Combinations
A traveller can go from Delhi to Jaipur by 3 train routes or 2 bus routes. From Jaipur to Udaipur there are 4 train routes and 3 bus routes. In how many ways can the traveller go from Delhi to Udaipur via Jaipur?
The traveller has 35 ways. Each leg offers alternatives, so add within a leg: 3+2 = 5 and 4+3 = 7. The two legs happen one after the other, so multiply: 5 × 7 = 35.
- A12
- B35Correct
- C15
- D60
Explanation
Delhi to Jaipur: 3+2 = 5 ways (alternatives, addition). Jaipur to Udaipur: 4+3 = 7 ways. The two legs are in succession, so multiply: 5 × 7 = 35. Option 12 multiplies only the train routes (3×4) and ignores the other modes.
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