Question

an eyewitness to a crime said that the license plate of the getaway car began with the letters y and v​, but he could not remember the order. the rest of the plate had the numbers 4, 1, 6, 0, and 3​, but again he did not recall the order. how many license plates must the police investigate to find the​ car?

Answer 1

Police must investigate 50 cars to find the​ car.

What is permutation and combination?

A combination could be a choice of things from a collection that has distinct members, such the order of choice doesn't matter.

Main body:

there are 2 possible position for the first letter.

there is 1 possible position for the second letter.

there are 5 possible position for the first number.

there are 4 possible position for the second number.

there is 3 possible position for the third 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 * 5 * 4* 3 * 2 * 1 = 50

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 5 numbers (1,4 , 6 , 0 and 3) that can be in the last 5 positions in any order that is 5!.

Therefore possible arrangement

2! * 5! = 2 * 1 * 5 * 4 * 3 * 2 * 1 = 50

To know more about permutation and combination , visit:

brainly.com/question/28065038

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