Question

How many ordered arrangements of 5 objects k, n, o, p, and q choosing 3 at a time without repetition are there?

Answer 1

There are 60 ordered arrangements of 5 objects k, n, o, p, and q choosing 3 at a time without repetition.

Given: There are 5 objects k, n, o, p, and q.

To find  the number of ordered arrangements of 5 objects k, n, o, p, and q choosing 3 at a time without repetition.

Th number of permutation of n things taken r at a time is

$P(n,r)=\frac{n! }{(n-r)! }$

So, substitute the values $n=5,r=3$ in the formula

$P(5,3)=\frac{5! }{(5-3)! }\\=\frac{5! }{(2)! }\\=\frac{5.4.3.2! }{(2)! }\\=60$

Learn more:https://brainly.ph/question/13922408