Question

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

Answer 1

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

Permutation and combination

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

#SPJ1

Complete question

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?