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?
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Algebra.Com
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) (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.
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