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in how many different ways can a club with 10 members select a president ,secretary and treasurer,if no member can hold two offices and each member is eligible for any office. |
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Answer» Answer: 12 Step-by-step explanation: There are twelve choices for president, eleven choices for vice-president, and ten choices for treasurer for a TOTAL of 12⋅11⋅10=1320 ways to fill the OFFICE without using EITHER MEMBER of the pair who will not SERVE together. Case 2: Exactly one of the pair who will not serve together is selected to hold an office. |
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