Suppose we want to choose 5 objects, without replacement, from 15 distinct objects.

Mathematics

1 answer:

vovangra [49]2 years ago

6 0

The number of ways it can be done if order of the choices is taken into consideration is 15,444 ways

<h3>Permutation and combination</h3>

Permutation has to do with arrangement and combination has to do with selection.

If we are choosing 5 objects, without replacement, from 15 distinct objects, this has to do with permutation if the order of the choices is taken into consideration

15P5 = 15!/(15-5)!5!
15P5 = 15!/10!5!
15P5 = 15*14*13*12*11/5*4*3*2

15P5 = 15,444 ways

Hence the number of ways it can be done if order of the choices is taken into consideration is 15,444 ways

Learn more on permutation here: brainly.com/question/11732255

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Complete question

<em>Suppose we want to choose 5 objects, without replacement, from 15 distinct objects. How many ways can this be done, if the order of the choices is taken into consideration?</em>

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