Answer: 56
Step-by-step explanation:
Given : Number of red marbles = 5
Number of green marbles = 3
Number of yellow marbles = 3
Number of orange marbles = 3
Number of red and green marbles = 5+3=8
Now the possible number of sets (combinations) of five marbles are there in which all of them red or green will be :-
[tex]^8C_5=\dfrac{8!}{5!(8-5)!}=\dfrac{8\times7\times6\times5!}{5!3!}=56[/tex]
Hence, the number of sets of five marbles in which all of them red or green=56
