A college has 10 basketball players. A 5-member team and a captain will be selected out of these 10 players. How many different selections can be made?

• 10c6=210
  captain can be selected from 6 player in 6 ways
  210*6=1260
• 13 years agoHelpfull: Yes(33) No(4)
• 10c5=252
  5c1=5
  so to select 6 players ie, 5+1 we have 252*5=1260 ways
• 13 years agoHelpfull: Yes(22) No(4)
• A team of 6 members has to be selected from the 10 players. This can be done in 10C6 or 210 ways.
  Now, the captain can be selected from these 6 players in 6 ways.
  Therefore, total ways the selection can be made is 210*6 = 1260.
  
  Alternatively, we can select the 5 member team out of the 10 in 10C5 ways = 252 ways.
  The captain can be selected from amongst the remaining 5 players in 5 ways.
  Therefore, total ways the selection of 5 players and a captain can be made = 252*5 = 1260.
• 12 years agoHelpfull: Yes(18) No(1)
• captain can be selected in 10 ways and remaining 5 player can be selected in 9c5 ways so..choices are 10*9c5 = 1260
• 12 years agoHelpfull: Yes(9) No(1)
• 10c6 = 210
• 13 years agoHelpfull: Yes(5) No(17)
• let us rank the letters a-1,c-2,h-3,m-4,s-5
  so we hae to acheie the arrangement 23154
  there are 24 numbers starting with 1
  so 25th letter will be 21345
  there will be 6 letter which start with 21
  so 30th letter will be 21543
  31th will be 23145
  and 32nd will be 23154 which is req number
• 12 years agoHelpfull: Yes(2) No(6)
• 10c1 * 9c5=1260
• 7 years agoHelpfull: Yes(2) No(0)
• 6 players will be selected in=10C6 ways or 210 ways..
  now any one of 6 players can be a captain.
  so captain will be selected in 6 ways.
  
• 8 years agoHelpfull: Yes(1) No(0)