Answer:
8
Step-by-step explanation:
We are given that
Total marbles =7
Number of red marbles=4
Number of two green marbles=2
Number of yellow marbles=1
We have to find the total number of outcomes are there in the event that Pablo picks one marbles of each color when Pablo randomly picks three marbles from a bag.
Combination formula:[tex]nC_r=\frac{n!}{r!(n-r)!}[/tex]
Using combination formula
Total number of outcomes=[tex]4C_1\times 2C_1\times 1[/tex]
Total number of outcomes=[tex]\frac{4!}{3!}\times \frac{2!}{1!1!}[/tex]
Total number of outcomes==[tex]\frac{4\times 3!}{3!}\times 2\times 1=8[/tex]
Hence, total number of outcomes are there in event that Pablo picks one marbles of each color=8
