How many team we can making group of eleven there are 11 women and 5 men and atmost there are 3 men should be in team

• 11c10*5c1+11c9*5c2+11c8*5c3+11c11 as there said that at most 3 men so it is start from choosing 0 men to 3 make a combination that always 11 member comes in a group
• 10 years agoHelpfull: Yes(25) No(0)
• (3M&83)+(2M&9W)+(1M&10W)+11W
  =(5C3X11C8)+(5C2X11C9)+(5C1X11C10)+(11C11)
  
• 10 years agoHelpfull: Yes(5) No(0)
• the case where 3 men are selected:5C3*2^11
  WHEN 2 ARE SELECTED:5C2*2^11
  WHEN ONE:5C1*2^11
  WHEN 0:1*2^11
  SO THE SUM OF ALL:(2^5-5-1)*(2^11)=53248
• 10 years agoHelpfull: Yes(0) No(8)
• (5c3+11c8)+(5c2*11c9)+(5c1+11c10)+(5c0+11c11)=257
• 10 years agoHelpfull: Yes(0) No(3)
• no. of ways= 16c11- (11c11+ 5c1*11c10 + 5c2*11c9)
• 10 years agoHelpfull: Yes(0) No(1)
• 11c10*5c1+11c9*5c2+11c8*5c3+11c11
• 10 years agoHelpfull: Yes(0) No(0)