Answer:
A)225, b) 1/ 4.3789389e17
Step-by-step explanation:
The product rule says that if there are N ways of doing something and M ways of doing another thing, the number of ways of doing both things is equal to NxM
In a party of 15 males and 15 females the possible combination of pairing one male to a female is
15 x 15 = 225
The probability that each husband ends up dancing with his wife can be express as
Prhusband 1 pair wife 1 = 1/15
Pr husband 2 pair wife 2 = 1/15
PR husband 3 pair wife 3 = 1/15
Same for all
Therefore the probability of each husband paired with his wife is
1/15 and 1/15 and 1/15 and 1/15 and 1/15 and 1/15 and 1/15 and 1/15 and 1/15 and 1/15 and 1/15 and 1/15 and 1/15 and 1/15 and 1/15
Which implies
1/15 x 1/15 x 1/15 x 1/15x 1/15 x 1/15 x 1/15x 1/15 x 1/15 x 1/15x 1/15 x 1/15 x 1/15x 1/15 x 1/15 = 1/ 4.3789389e17
=
