Question

Consider a bag containing five red marbles, three green ones, one transparent one, three yellow ones, and three orange ones How many possible sets of five marbles are there in which all of them red or green? sets Need Help? Read Tate Tutor

Answer 1

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 :-

$^8C_5=\dfrac{8!}{5!(8-5)!}=\dfrac{8\times7\times6\times5!}{5!3!}=56$

Hence, the number of sets of five marbles in which all of them red or green=56