Respuesta :
[tex] \bf _nP_r=\cfrac{n!}{(n-r)!}\qquad \qquad \qquad _{18}P_4=\cfrac{18!}{(18-4)!} [/tex]
one may note that, your calculator besides having a [ ! ] factorial button, it also has a [ ₙPᵣ ] button for permutations, and you can use that too.
The required value of 18P4 after the evaluation is 73,440. Option D is correct.
To evaluate the given permutation for 18P4.
What are permutation and combination?
In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In a combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.
Examples of permutation and combination, Organizing people, numbers, numerals, alphabets, notes, and colors are examples of permutations. Choosing of menu, foodstuffs, dresses, matters, and the group are examples of combinations.
Since nPr = n!/(n-r)!
18P4 = 18!/(18-4)!
= 18 * 17 * 16 * 15 * 14!/14!
= 18 * 17 * 16 * 15
= 73, 440
Thus, the required value of 18P4 after the evaluation is 73,440. Option D is correct.
Learn more about permutations and combinations here:
https://brainly.com/question/2295036
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