I have 3 blue eggs, 3 green eggs and 3 yellow eggs to put into 3
baskets.  How many combinations of eggs could you have?

Hello Suzie Q

The answer is 7 Different Combinations

The contents of the basket 1 is column one, basket 2 column 2, etc. 

The first would be all the same coloured eggs of course.

Blue 	Yellow 	Green		
Blue 	Yellow 	Green		
Blue 	Yellow 	Green		

Then One of each colour in each basket. 

Blue	Blue	Blue				
Yellow	Yellow	Yellow				
Green	Green	Green				

Followed by two of the same colour and one other

Blue 	Yellow	Green 				
Blue 	Yellow	Green 
Yellow	Green	Blue

Same as last but with the 'odd' colour interchanged. 

Blue 	Yellow	Green
Blue 	Yellow 	Green		
Green	Blue	Yellow

Then you have one basket full of the same with the other two interchanged

Blue    Yellow  Green
Blue    Yellow  Green
Blue    Green   Yellow

Yellow  Blue    Green
Yellow  Blue    Green
Yellow  Green   Blue

Green   Blue    Yellow
Green   Blue    Yellow
Green   Yellow  Blue

Any other combinations would be repetitions of the existing ones. 

I hope this helps

Glad to see that you aren't keeping all your eggs in one basket. 

Johnny Phoenix.

Why do you infer from the problem statement that putting all the eggs
into one basket is disallowed?

Why did you infer from the problem that each of the baskets needed to
have 3 eggs, rather than 711 or 612 or 621 or 531 or 801 etc In
addition various patterns inside each basket are possible such as
square, octigon. A million combinations may be practical.  Neil

I inferred nothing, I simply asked the question as posed. I could try
to be too clever, and as you say there would be a million different
combinations but since the question was for $2.00, I have taken it at
face value. If the customer, did want more then i am sure they will
ask for a question clarification to give the added information that I
need to solve the problem.

As for "patterns?!" inside the baskets, please...lol..I think neilzero
might be trying a little too hard on this one.

Suzie Q, I hope that if there are added variables that you will ask
for an answer clarification before rating the answer, Thanks Johnny
Phoenix.

Even with the assumption that exactly three eggs must go in each
basket, the answer is WRONG.  Here are three configurations that were
missed:

Blue    Blue    Yellow
Green   Blue    Yellow
Yellow  Green   Green

Blue    Blue    Green
Green   Blue    Green
Yellow  Yellow  Yellow

Blue    Green   Yellow
Green   Green   Yellow
Yellow  Blue    Green

That brings the answer to 10.

Oops--typo, that last green should be a blue:

Blue    Blue    Yellow 
Green   Blue    Yellow 
Yellow  Green   Green 
 
Blue    Blue    Green 
Green   Blue    Green 
Yellow  Yellow  Yellow 
 
Blue    Green   Yellow 
Green   Green   Yellow 
Yellow  Blue    Blue

If the eggs don't have to be equally divided among the baskets, the
total number of combinations is 201.

The breakdown for each case is:

900     1
810     3
720     6
711     6
630     10
621     18
540     12
531     27
522     33
441     30
432     45
333     10