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There are 8 buses running from Kota to J...

There are 8 buses running from Kota to Jaipur and 10 buses running from Jaipur to Delhi. In how many ways a person can travel from Kota to Delhi via Jaipur by bus?

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To solve the problem of how many ways a person can travel from Kota to Delhi via Jaipur, we can break it down into two main parts: the journey from Kota to Jaipur and the journey from Jaipur to Delhi. ### Step-by-Step Solution: 1. **Identify the Events:** - Let event E1 be the journey from Kota to Jaipur. - Let event E2 be the journey from Jaipur to Delhi. 2. **Determine the Number of Buses:** - According to the problem, there are 8 buses running from Kota to Jaipur. Therefore, the number of ways to travel from Kota to Jaipur (E1) is 8. - There are also 10 buses running from Jaipur to Delhi. Thus, the number of ways to travel from Jaipur to Delhi (E2) is 10. 3. **Calculate the Total Number of Ways:** - Since the two events (E1 and E2) are independent, the total number of ways to travel from Kota to Delhi via Jaipur is the product of the number of ways to complete each leg of the journey. - Therefore, the total number of ways = E1 × E2 = 8 × 10. 4. **Perform the Calculation:** - Total number of ways = 8 × 10 = 80. 5. **Conclusion:** - Hence, a person can travel from Kota to Delhi via Jaipur in **80 different ways**.
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