Answer:
a) 40320 ways
b) 384 ways
Step-by-step explanation:
a) if there are no seating restrictions, the number of ways the 4 couples can be seated is the permutation of 8 persons in 8 seats then
number of ways= permutation of 8 persons in 8 seats = 8! = 40320
b) if each couple will sit together then the number of ways is:
number of ways= number of permutation of 4 integrants of each couple in 4 pairs of seats * number of permutation for a couple in a pair of seats^ number of pair of seats = 4! * 2^4 = 384