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John wants to go abroad by ship and retu...

John wants to go abroad by ship and return by air. He has a choice of 6 different ships to go and 4 airlines. To return. In how many ways can be perform his journey ?

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To solve the problem of how many ways John can perform his journey by choosing a ship to go abroad and an airline to return, we can break it down step by step. ### Step-by-Step Solution: 1. **Identify the Choices for Going and Returning**: - John has **6 different ships** to choose from for his journey abroad. - He has **4 different airlines** to choose from for his return journey. 2. **Calculate the Total Combinations**: - For each ship that John chooses, he has 4 options for airlines. This means that for each ship, there are 4 different ways to return. - Therefore, if John chooses one ship (let's say S1), he can return by any of the 4 airlines (A1, A2, A3, A4). This gives us 4 combinations for that one ship. 3. **Extend the Calculation to All Ships**: - Since there are 6 ships, and for each ship, there are 4 returning options, we can multiply the number of ships by the number of airlines: \[ \text{Total Ways} = (\text{Number of Ships}) \times (\text{Number of Airlines}) = 6 \times 4 \] 4. **Perform the Multiplication**: - Now, we perform the multiplication: \[ 6 \times 4 = 24 \] 5. **Conclusion**: - Therefore, the total number of ways John can perform his journey is **24**. ### Final Answer: John can perform his journey in **24 different ways**. ---
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MODERN PUBLICATION-PERMUTATIONS AND COMBINATIONS -EXERCISE 7 (b) Short Answer Type Questions
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