Statistics - Permutations and Combinations
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1. THERE ARE 8 MEMBERS ON THE BOARD OF DIRECTORS. IF THEY MUST FORM A SUBCOMMITTEE OF 6 MEMBERS,HOW MANY DIFFERENT SUBCOMMITTEES ARE POSSIBLE?
2. HOW MANY WAYS CAN AN IRS AUDITOR SELECT 5 OF 12 TAX RETURNS FOR AN AUDIT?
3. THERE ARE 18 PEOPLE ON A BASEBALL TEAM. HOW MANY DIFFERENT ARRANGEMENTS OF CAPTAIN AND CO-CAPTAIN
ARE THERE?
4. FOR A TEAM WITH 18 PLAYERS, HOW MANY DIFFERENT GROUPS OF NINE PLAYERS CAN BE CHOSEN TO BE ON THE FIELD?
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Solution Summary
The permutations and combinations are examined for the board of directors. A complete, neat and step-by-step solution is provided.
Solution Preview
(1) Number of subcommittees of 6 members out of 8 members = 8C6 = 8! / (8 - 6)! 6! = 28
(2) 5 ...
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