SOLUTION: A toys manufacture produces red, yellow, and green marples, with 8 available sizes, and containing or not a metal core. a) How many different kinds of marples are available?

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Question 1204817: A toys manufacture produces red, yellow, and green marples, with 8 available sizes, and containing or not a metal core.
a) How many different kinds of marples are available?

A boy has 7 red , 2 yellow and 5 green marbles. In how many ways can the boy arrange the marbles in a line if:
b) All marbles have different sizes?
c) Marbles of the same color are indistinguishable?
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.


        I will answer very first question (a), ONLY. 

There are marbles of the three different colors; of 8 different sizes, and with a metal core or not.


In all, there are  3*8*2 = 48  different categories according to their features (color, size, core).



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