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For a trip a traveler packed 3 pairs of pants, 11 shirts, and 5 pairs of shoes. How many different outfits can he wear? Please show steps to find answer.
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165
the traveller can choose 1 pair of pants from 3 pairs in 3 ways; having chosen 1 pair he can choose 1 shirt from 11 shirts in 11 ways; thus he can choose 1 pant and 1 shirt in 33 ways; then he can choose 5 pairs of shoes in 5 ways...so total no. of ways = 33*5=165...
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