📘 Quiz

Solution: Step 1: The word VEGETABLE has 9 letters. Step 2: E is repeated three times, and there are no other repetitions. Step 3: The total arrangements = 9! / 3! Step 4: Calculate 9! = 362880 Step 5: Calculate 3! = 6 Step 6: Total arrangements = 362880 / 6 = 60480 Step 7: Since the word VEGETABLE itself is one arrangement, the additional arrangements = 60480 - 1 = 60479 However, given that POTATO has 6 letters with O and T repeated twice: Step 8: Correct calculation for POTATO = 6! / (2! * 2!) = 180 Step 9: The question asks for additional arrangements, so 180 - 1 = 179