in a club with 12 members, how many ways can a slate of three officers consisting...

Question

Question

in a club with 12 members, how many ways can a slate of three officers consisting of president, vice president, and secretary/treasurer be chosen?

Answer 1

Answer #1

In this problem, there is 12 member in a club. One has to choose a total of 3 officers consisting President, Vice-president & Secretary.

After choosing a person, the total member in the club will decrease by 1 because we have selected 1 person

So for president, no. of ways= ¹²C₁

So for Vice-President, no. of ways= ¹¹C₁

So for Secretary, no. of ways= ¹⁰C₁

Hence, total no. of ways= 12C1 * 11C1 * 10C1= 12* 11* 10 = 1320

Answer 2

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