Respuesta :

MrRoyal

There are 220 ways to choose a president, vice-president, and secretary from a club with 12 members

How to determine the number of ways to choose the president, vice-president, and the secretary?

The given parameters are:

Number of members, n = 12

Number of positions, r = 3

Here, the order of the choices is not to be taken into consideration.

This means combination.

So, we have:

nCr = n!/r!(n -r)!

This gives

12C3 = 12!/(3! * 9!)

Expand

12C3 = 12 *11* 10 * 9!/(3! * 9!)

Divide by 9!

12C3 = 12 *11* 10/(3!

Expand 3!

12C3 = 12 *11* 10/(3 * 2 * 1)

Evaluate the quotient

12C3 = 220

Hence, there are 220 ways to choose a president, vice-president, and secretary from a club with 12 members

Read more about permutation at:

https://brainly.com/question/11732255

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