Question 946343
  
Given
Committee has 11 Republicans and 17 Democrats.
Find number of subcommittee consisting of 3 Republicans and 2 Democrats.
  
Solution
Number of ways to choose 3 Republicans out of 11 = 11C3 = {{{11!/(3!8!) = 165}}}
Number of ways to choose 2 Democrates out of 17 = 17C2 = {{{17!/(2!15!) = 136 }}}
Number of ways to form the subcommittee = {{{165 * 136 = 22440}}}
  
Answer
There are 22440 ways to form the subcommittee.