An eyewitness to a crime said that the license plate of the getaway car began with the letters T an V, but he could not remember the order. The rest of the plate had the numbers 7,4 ,and 5, but again he did not recall the order. How many license plates must the police investigate to find the car?

12 possible arrangements.

Step-by-step explanation:

there are 2 possible position for the first letter.

there is 1 possible position for the second letter.

there are 3 possible position for the first number.

there are 2 possible position for the second number.

there is 1 possible position for the third number.

the total possibilities are 2 * 1 * 3 * 2 * 1 = 12

Or we can solve by saying:

There are 2 letters T and V that can be in the first two positions in any order that is 2!, and there are 3 numbers (7,4 and 5) that can be in the last 3 positions in any order that is 3!.

Therefore possible arrangement

2! * 3! = 2 * 1 * 3 * 2 * 1 = 12

12 possible arrangements.

me

step-by-step explanation:

nothjing

step-by-step explanation: