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The Mountaineering Club is preparing for a camping trip. They need to replace some of the contents of their first aid kit. In how many different orders can a pocket mask, a roll of medical tape, a bottle of pain medication, a burn gel, and an instant cold pack be replaced?\newline_____\_\_\_\_\_ orders

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Q. The Mountaineering Club is preparing for a camping trip. They need to replace some of the contents of their first aid kit. In how many different orders can a pocket mask, a roll of medical tape, a bottle of pain medication, a burn gel, and an instant cold pack be replaced?\newline_____\_\_\_\_\_ orders
  1. Permutation Problem: question_prompt: How many different orders can 55 first aid items be replaced?
  2. Factorial Calculation: We got 55 items to arrange, so that's a permutation problem. We use factorial to solve it, which is 5!5! for 55 items.
  3. Calculate 5!5!: Calculate 5!5! which is 5×4×3×2×15 \times 4 \times 3 \times 2 \times 1.
  4. Total Different Orders: So, 5!5! equals 120120. That's 120120 different orders.

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