Question
Nine stuffed characters, all different are placed along a baby’s toy shelf. How many possible arrangements are there if Cookie Monster must be in the middle
Answers
GPT 3.5
In this case, Cookie Monster must be in the middle of the shelf.
To solve this, we can consider the two sections of the shelf: left and right of Cookie Monster.
The left section can have 4 different characters (since Cookie Monster is already placed), and the right section can also have 4 different characters (since all characters are different).
Therefore, the total number of possible arrangements would be 4 choices for the left section × 1 choice for the middle (since Cookie Monster is fixed in the middle) × 4 choices for the right section.
Thus, there would be 4 × 1 × 4 = 16 possible arrangements.
To solve this, we can consider the two sections of the shelf: left and right of Cookie Monster.
The left section can have 4 different characters (since Cookie Monster is already placed), and the right section can also have 4 different characters (since all characters are different).
Therefore, the total number of possible arrangements would be 4 choices for the left section × 1 choice for the middle (since Cookie Monster is fixed in the middle) × 4 choices for the right section.
Thus, there would be 4 × 1 × 4 = 16 possible arrangements.