SOLUTION: How many different sets of 4 marbles can you package if you have blue, white, yellow and pink marbles? The answer is 35 but I keep getting 24 using 4!. I have also tried 4C4 and

Algebra ->  Permutations -> SOLUTION: How many different sets of 4 marbles can you package if you have blue, white, yellow and pink marbles? The answer is 35 but I keep getting 24 using 4!. I have also tried 4C4 and       Log On


   

Question 650931: How many different sets of 4 marbles can you package if you have blue, white, yellow and pink marbles? The answer is 35 but I keep getting 24 using 4!. I have also tried 4C4 and 4P4 using combinations and permutation. but can't figure out how to get 35.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,  

How many different sets of 4 marbles can you package if you have blue, white, yellow and pink marbles?

Reference is being made to what colors the marbles are in each possible set

for example:

possible Sets:

all different colors: 1

All the same color:  4 

3 of one color:  4*3 = 12

pairs of the same color: 6  bbyy,bbww,bbpp, yyww,yypp, ppww 

2 of one color and 2 others different: 4*3 = 12