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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 by bus, we can break it down into two parts: the journey from Kota to Jaipur and the journey from Jaipur to Delhi. ### Step-by-Step Solution: 1. **Identify the number of buses from Kota to Jaipur**: There are 8 buses running from Kota to Jaipur. 2. **Identify the number of buses from Jaipur to Delhi**: There are 10 buses running from Jaipur to Delhi. 3. **Calculate the total number of combinations**: To find the total number of ways to travel from Kota to Delhi via Jaipur, we need to multiply the number of choices for each leg of the journey. - The number of ways to go from Kota to Jaipur is 8 (choices of buses). - The number of ways to go from Jaipur to Delhi is 10 (choices of buses). Therefore, the total number of ways to travel from Kota to Delhi via Jaipur is: \[ \text{Total Ways} = (\text{Ways from Kota to Jaipur}) \times (\text{Ways from Jaipur to Delhi}) = 8 \times 10 = 80 \] 4. **Conclusion**: Thus, a person can travel from Kota to Delhi via Jaipur in **80 different ways**.
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