GRE Math Question

[Trabz]

if you have four houses, and you have four painting colors.
If you want to paint each house with only 1 color, how many outcomes we will have?

I have a doubt between two answers:

1. Outcome= 4P4=4!=4x3x2x1=24

or

2. Outcome: 4x(4x3x2x1)=96

what do u think guys?

[mo7aisen]

it is the first answer

[LaoLi]

I think the first one is correct

[ajaygrewal]

answer is 4x4x4x4=256

[MrPedantic]

I would agree that answer #1 is correct here. The number of outcomes in this instance is the factorial of 4 (the "factorial" of a non-negative integer is the product of all the positive integers which are less than or equal to that number).

Thus:

4! = 4 × 3 × 2 × 1 = 24

MrP

[snehal.mahalle]

I think first answer is correct.