The board of directors of a company decides to promote 3 of its 10 senior staff members to the position of first vice president, second vice president, and third vice president. In how many ways can this promotion be made?

720 ways

The number of ways in which the promotion can be made is 720 ways

Step-by-step explanation:

Given that;

The board of directors of a company decides to promote 3 of its 10 senior staff members to the position of first vice president, second vice president, and third vice president.

This is a permutation problem because the order of selection is relevant. They will be promoted to various positions.

N = nPr = n!/(n-r)!

n = 10, r = 3

Substituting the values;

N = 10P3

N = 10!/(10-3)! = 10!/7!

N = 720 ways

The number of ways in which the promotion can be made is 720 ways

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6 on both sides and twelve on the top and the bottom

step-by-step explanation: