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  4. 4 buses runs between Bhopal and Gwalior. If a man goes from Gwalior to Bhopal by a bus and comes back to Gwalior by another bus, then the total possible ways are

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Q. $4$ buses runs between Bhopal and Gwalior. If a man goes from Gwalior to Bhopal by a bus and comes back to Gwalior by another bus, then the total possible ways are

Permutations and Combinations

Solution:

Since the man can go in $4$ ways and can back in $3$ ways Therefore total number of ways are $4\times 3 =12$ ways