Determine the permutation, Mathematics

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There are 6 contestants for the post of chairman secretary and treasurer. These positions can be filled by any of the 6. Find the possible no. of ways whether the 3 positions may be filled.

Solution

Chairman Secretary Treasurer

6 5 4

Hence the no of ways of filing the three positions is 6 x 5 x 4 = 120

⁶P₃ = (6!)/((6 - 3)! )

= (6 * 5 * 4 * 3 * 2 * 1) /(3 * 2 * 1)

= 720/6

= 120

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