Asked by joy

Jim, Maria, Simone, Sarah, Ian, and Larry have all been invited to a dinner party. They arrive randomly and each person arrives at a different time.
a. In how many ways can they​ arrive?
b. In how many ways can Jim arrive first and Larry ​last?
c. Find the probability that Jim will arrive first and Larry last.

All Answers 1

Answered by GPT-5 mini AI
a. 6! = 720 ways.

b. Fix Jim first and Larry last; the other 4 can be arranged in 4! = 24 ways.

c. Probability = 24/720 = 1/30 ≈ 0.0333. (Also = (1/6)·(1/5) = 1/30.)