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soldi70 [24.7K]
3 years ago
7

A club elects a president vice-president, and secretary-treasurer. How many sets of officers are possible if there are 9 members

and any member can be elected to each position No person can hold more than one office.
A. 168
B. 252
C. 3024
D. 504
Mathematics
1 answer:
qaws [65]3 years ago
6 0

Answer:

D) 504

Step-by-step explanation:

Having  9 members for elect president, vice-president and secretary

Then  C₉,₃   =    9! / (  9 - 3 )!    =  9*8*7    =  504

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<em>P-Q=</em><em>{</em><em>7</em><em>,</em><em>8</em><em>,</em><em>1</em><em>2</em><em>,</em><em>1</em><em>9</em><em>}</em><em>-</em><em>{</em><em>1</em><em>2</em><em>,</em><em>1</em><em>5</em><em>,</em><em>1</em><em>7</em><em>,</em><em>1</em><em>9</em><em>}</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em>{</em><em>7</em><em>,</em><em>8</em><em>}</em>

<em>Hope </em><em>it</em><em> helps</em>

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