Question

Asked Apr 25, 2019

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Sergio, Kim, Jim, Maria, Sarah, Larry, and Tyrone 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 Sergio

arrive first and

arrive first and

Tyrone

last?c. Find the probability that

Sergio

will arrive first and
Tyrone

lastStep 1

7 members are invited in the party.

Each person arrives at different time.

There are 7 different timings.

Hence, they can arrive in,

Step 2

b.

There are total 7 positions.

In first position Sergio and in last position Tyrone are fixed.

Remaining 5 positions are left for 5 persons.

Therefore, the 5 persons can come in the middle 5 positions in,

Step 3

c.

For any event *A* and the sample space *S,* the p...

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