Use Permutations to answer the following questions. Enter your answers as integers (a calculator is helpful here).

8 people (3men and 5women)are boarding an airplane. In how many ways can this be done under the following conditions?

8 people board without regard to gender.

Only 4of the 8can board (without regard to gender).

All 8can board but the women must board first.

The following scenario represents the case of Independent Events.

Answer the probability questions below and express your answer as an unreduced fraction in the form a/b. For example, if the probability is 10/125, type that in on your keyboard without reducing.

If the probability is 0 or 1, enter those values as integers.

For a salesperson, the probability of making a sale with a client is 1/5 and the probability of no sale is 4/5. In a particular week,she arranges to meet with 3clients.

Find the probability of making a sale in all her client meetings that week.

Find the probability of making no sales that week with any client.

Find the probability of making one sale with the first meeting and no sales with the remaining two, IN THAT ORDER.

Find the probability of making one sale that week with any of the clients.

Find the probability of having AT LEAST1sale