Psychology and Human Behavior An annual family picture following Thanksgiving dinner is arranged with all 10 family members in a row in front of a fireplace.
a. How many different arrangements of family members are possible?
b. Suppose the family includes one set of twins, and all arrangements are equally likely. What is the probability that the twins will be in the middle two places (positions 5 and 6)?
c. What is the probability that the twins will be side by side in the picture?
d. Suppose the family includes five males and five females. What is the probability that the picture arrangement will alternate male, female, male, female, etc., or female, male, female, male, etc.?