Answer:
116,280 ways.
Step-by-step explanation:
In choosing the shows, the order in which you pick them does not matter; therefore it is a combination. Thus, the number ways you can choose 7 shows from 21 is
[tex]\dfrac{21!}{7!(21-7)!} = \dfrac{21!}{7!\:14!}=\dfrac{21*20*19*18*17*16*15}{7*6*5*4*3*2*1} \\\\= 116,280.[/tex]
You can choose 7 shows from 21 in 116,280 ways.
