Answer: There are 1820 sets of four marbles other than lavender.
Step-by-step explanation:
Since we have given that
Number of red marbles = 3
Number of green marbles = 5
Number of lavender marbles = 1
Number of yellow marbles = 2
Number of orange marbles = 6
So, Total number of marbles = 3 + 5+ 1 + 2 + 6 = 17
We need to find the sets of 4 marbles other than lavender.
so, Number of total marbles other than lavender becomes = 17 -1 =16
Number of marbles in a set = 4
So, Number of ways becomes
Hence, there are 1820 sets of four marbles other than lavender.