Question

6 In a particular softball league each team consists of 5
women and 5 men. In determining a batting order for 10
players, a woman must bat first, and successive batters
must be of opposite sex. How many different batting orders
are possible for a team

Answer 1

Given :  In a particular softball league each team consists of 5 women and 5 men. In determining a batting order for 10 players, a woman must bat first, and successive batters must be of opposite sex.

To Find : How many different batting orders are possible for a team

Solution:

a woman must bat first, and successive batters must be of opposite sex.

Hence  WMWMWMWMWM  this would the order

5 W can be arranged in 5!  = 120 ways

5 M can be arranged in 5!  = 120 Ways

Total Ways = 120 * 120  = 14400  ways

14400    different batting orders are possible for a team

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Answer 2

Step-by-step explanation:

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