# 5. Sixteen peopleon a softball team show up for a game.a) How many ways are there to choose 9 players to take the field?b) How many ways are there to assign the 9 positions by selecting players from the 16people who show up?c) Of the 16 people who show up, 7 are women. How many ways are there to choose 9players to take the field if at least one of these players must be a woman?

Question
12 views
check_circle

Step 1

(a)

Total number of people that show up for game is 16.

Therefore, number of ways for choosing 9 players out of 16 is:

Step 2

Thus, the total number of ways for choosing 9 players out of 16 is 11440.

(b)

Now, total number of ways for assigning 9 players out of 16 is:

Step 3

Thus, number of ways for assigning 9 players out of 16 is 4151347200.

(c)

Now, it is given that, out of 16 people, 7 are women

Now, total number of ways for choosing 9 players out of 16...

### Want to see the full answer?

See Solution

#### Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in