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What is the total number of unique permutations of the letters in the word 'COMMERCE'?
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Solution: Step 1: Total letters in 'COMMERCE' = 8 Step 2: Frequency of C = 2, M = 2, E = 2 Step 3: Apply permutation formula for repetitions: 8! / (2! * 2! * 2!) Step 4: Calculate 8! = 40320 Step 5: Calculate 2! * 2! * 2! = 8 Step 6: Divide: 40320 / 8 = 5040 Step 7: Therefore, the total number of unique permutations = 5040
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