Question 30
Optional bonus. A paper strip has cells labelled 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. Step 1: choose one number from 2 through 9. Step 2: cut through that number’s cell to separate a left strip and a right strip. Step 3: multiply all numbers on each side, excluding the chosen number. Example: Manee chooses 5 and cuts its cell as shown; the products are $1\times2\times3\times4=24 $ and $6\times7\times8\times9\times10=30240 $. Mana follows the same steps and gets equal products on the left and right. What is his left-hand product?
