SOLUTION: A dinner dance is attended by 12 married couples. In how many ways may a dancing couple be formed if husband and wife (A) do not dance together? (B) may dance together? (

Algebra ->  Probability-and-statistics -> SOLUTION: A dinner dance is attended by 12 married couples. In how many ways may a dancing couple be formed if husband and wife (A) do not dance together? (B) may dance together? (      Log On


   



Question 143150: A dinner dance is attended by 12 married couples. In how many ways may a dancing couple be formed if husband and wife
(A) do not dance together?
(B) may dance together?
(C) must dance together?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A dinner dance is attended by 12 married couples. In how many ways may a dancing couple be formed if husband and wife
-------------------
Total number of mixed-gender pairs is 24C2-2(12C2) = 144
-------------------
(A) do not dance together?
Ans: 144-12 = 132
-----------------
(B) may dance together?
Ans: 144
-----------------
(C) must dance together?
Ans: 12
=============
Cheers,
Stan H.