Answer:
510
Step-by-step explanation:
divide into chunks. I divided it like how you would draw the equal sign.
for top chunk, 20*8=160
for 2nd chunk, 8*25=200
for the last chunk, 15*10=150
add up 160, 200, and 150
I'm not 100% sure if I'm doing it the right way, but I think the answer is the factorial of the number of letters divided by the factorials of the number of elements of each kind of element (in this case, the same letters)
9!/1!4!1!2!1!
= 9 · 8 · 7 · 6 · 5 · 4!/4!2!
= 9 · 8 · 7 · 6 · 5/2
= 9 · 4 · 7 · 6 · 5
= 63 · 120
= 7,560 permutations
Divide 6000 by 20
= 300 programs for each perfomance
