Party of 5 women and 5 men. A committee consists of 3 women and 2 men
The total number of ways to form this committee.

• 5C3 x 5C2 = 100 ways
• 11 years agoHelpfull: Yes(10) No(0)
• nCr = n! / (n - r)! r!
  For 5C3, the above evaluates to:
  
  nCr = 5!/ (5 - 3)! 3!
  nCr = 5!/ 2! 3!
  nCr = (5 * 4 * 3 * 2 *1) / (2 * 1)(3 * 2 * 1)
  nCr = 120 / (2 * 6)
  nCr = 120 / 12
  nCr = 10
  
  For 5C2, the above evaluates to:
  
  nCr = 5!/ (5 - 2)! 2!
  nCr = 5!/ 3! 2!
  nCr = (5 * 4 * 3 * 2 *1) / (3 * 2 * 1)(2 * 1)
  nCr = 120 / (6 * 2)
  nCr = 120 / 12
  nCr = 10
  
  
  so 10*10 = 100 ways
• 11 years agoHelpfull: Yes(3) No(0)
• nCr = n! / (n - r)! r!
  For 5C3, the above evaluates to:
  
  nCr = 5!/ (5 - 3)! 3!
  nCr = 5!/ 2! 3!
  nCr = (5 * 4 * 3 * 2 *1) / (2 * 1)(3 * 2 * 1)
  nCr = 120 / (2 * 6)
  nCr = 120 / 12
  nCr = 10
  
  For 5C2, the above evaluates to:
  
  nCr = 5!/ (5 - 2)! 2!
  nCr = 5!/ 3! 2!
  nCr = (5 * 4 * 3 * 2 *1) / (3 * 2 * 1)(2 * 1)
  nCr = 120 / (6 * 2)
  nCr = 120 / 12
  nCr = 10
  
  
  so 10*10 = 100 ways
• 11 years agoHelpfull: Yes(2) No(0)
• 5c3*5c2=100
  using the formula :ncr=n!/(n-r)!r!
  where n=5 and c=3
  and c=2
  
• 11 years agoHelpfull: Yes(1) No(0)
• 5c3*5c2 using the formula n!/r!(n-r)!
• 11 years agoHelpfull: Yes(0) No(0)
• 5C3 x 5C2 = 100 ways
• 10 years agoHelpfull: Yes(0) No(0)
• 5c3*5c2 =100
• 9 years agoHelpfull: Yes(0) No(0)