Question 960740
  
Given:
5 boys and 5 girls in tennis team
 
Find:
Number ways to select mixed doubles pairs
  
Solution:
Take any girl, there are 5 boys to choose from for the first pair.
Then there are 4 boys to choose from fro the second pair, etc.
There is a total of 5.4.3.2.1=120 possible ways to choose.
Since we can choose any girl at any point, order is not important.
  
Answer:
There are 120 ways to form the mixed doubles pairs.