There are 4 married couples. How many couple groups are possible ? there should not be his or her spouse.

• 12
• 15 years agoHelpfull: Yes(9) No(2)
• 9 couple groups. The problem is similar to arranging 1, 2, 3 and 4 in 4 places such that no number has either 1 as first number or 2 as second number or 3 as 3rd number or 4 as fourth number. All numbers satisfying this condition are 2143, 2341, 2413, 3142, 3412, 3421, 4123, 4312, 4321. There are 9 such numbers. So, there are 9 such groups possible.
• 15 years agoHelpfull: Yes(5) No(8)
• 16 possible
  if H stands for Husband and W for Wife, and the numbers 1, 2, 3, and 4 label which couple the person is from, then the 16 possible teams are:
  
  1) H1 H2 H3 H4
  2) H1 H2 H3 W4
  3) H1 H2 W3 H4
  4) H1 H2 W3 W4
  5) H1 W2 H3 H4
  6) H1 W2 H3 W4
  7) H1 W2 W3 H4
  8) H1 W2 W3 W4
  9) W1 H2 H3 H4
  10) W1 H2 H3 W4
  11) W1 H2 W3 H4
  12) W1 H2 W3 W4
  13) W1 W2 H3 H4
  14) W1 W2 H3 W4
  15) W1 W2 W3 H4
  16) W1 W2 W3 W4
• 6 years agoHelpfull: Yes(3) No(0)
• 12
• 15 years agoHelpfull: Yes(2) No(2)
• 9
• 15 years agoHelpfull: Yes(1) No(2)
• 4P4 - (4C1 + 4C2 + 4C3 + 4C4) = 24 - (4 + 6 + 4 + 1) = 24 - 15 = 9 groups
• 15 years agoHelpfull: Yes(1) No(4)
• 15
  combination of 1 couple=4C1=4
  combination of 2 couple=4C2=6
  combination of 3 couple=4C3=4
  combination of 4 couple=4C4=1
  total =15
• 11 years agoHelpfull: Yes(1) No(4)