My problems #9

Number of ways in which 4 4 maried couples can be seated round a table such that men and women are alternate and not all women adjacent to her husband,is...


The answer is 132.

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Aniket Verma
Mar 9, 2015

Number of ways men and women can be seated alternately = = 4 ! × 4 ! × 2 ! 8 \dfrac{4!\times 4!\times 2!}{8} = 144 = 144

And number of ways by which all women gets seated adjacent to her husband = = 4 ! × 2 ! × 2 8 \dfrac{4!\times 2!\times 2}{8} = 12 = 12

hence the number of ways in which 4 4 maried couples can be seated round a table such that men and women are alternate and not all women adjacent to her husband = 144 12 = 144 - 12 = 132 = 132

This answer is incorrect:It should be 96 or 12

E Koh - 2 years, 4 months ago

Can the Moderator check this solution?

E Koh - 2 years, 4 months ago

Moderator: Can you check this answer?

E Koh - 2 years, 2 months ago

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...