Answer:
352710
Step-by-step explanation:
total number of persons = 21
number of members in red team = 10
number of members in blue team = 11
As we select 10 persons for red team, the rest of the members are in the blue team.
The ways to select 10 persons out of 21
= [tex]^{21}C_{10}=\frac{21!}{10!\times 11!}=352710[/tex]
Thus, the number of ways to select the 10 members for red team and 11 members for blue team are 352710.