Probability with replacement

Question

Choose 3 out of 4 cards with replacement. How many total different outcomes are there?

Given answer choices are 6, 12, 15, 20

Answer 1

4 cards choose 3 = 4C3 = 4!/3!1! = 4

ABCD

choose 3

ABC

ABD

ACD

BCD

4 outcomes Without replacement

with replacement

AAA

AAB

AAC

AAD

BBB

BBC

BBD

CCC

CCA

CCB

CCD

DDD

DDA

DDB

DDC

4x4+original 4 = 20 outcomes