Question

37. Three married couples have purchased tickets for a play. Spouses are to be seated next to each other, and the six seats are in a row. In how many ways can the six people be seated?

Answer 1

48

1st seat 6 possible for each 6 only 1 possible(spouse) for seat 2

3rd seat 4 possible for each 4 only 1 possible(spouse) for seat 4

5th seat 2 possible for each 2 only 1 possible(spouse) for seat 6

6 x 4 x 2 = 48

OR 3 couples possible arrangements 3 x 2 x1 = 6

each couple 2 possible 2 x 2 x 2 = 8

therefore 6 x 8 = 48