Activity 3

Consider the following

1. Quality control wants to test 25 microprocessor chips from the 300 manufactured each day. How many different batches of test chips are possible?
• C(300,25) = 300! / [(300-25)! * 25!] = 300! / [275!*25!]
• 1.953 * 10³⁶
2. A soccer team carries 18 players on the roster; 11 players make the starting line up. How many different starting lineups are possible?
• C(18,11) = 18! / [(18-11)! * 11!] = 18! / [7!*11!]
• 31,824
3. How many juries of 5 men and 7 women can be formed from a panel of 17 men and 23 women?
• C(17,5) * C(23,7)
• 17! / [12!*5!] * 23! / [16!*7!]
• 1,517,031,516
4. How many different sets of 4 novels and 3 plays can be assigned in an English class from an approved list of 21 novels and 11 plays?
   • C(21,4) * C(11,3)
   • 21! / [17!*4!] * 11! / [8!*3!]
   • 6.969 * 10¹⁶