Answer:
Hence, the value of the given permutation is:
60
Step-by-step explanation:
We have to compute the value of the permutation:
[tex]5_P_3[/tex]
We know that the arrangement of r objects out of total n objects is calculated by the method of permutation and is given as:
[tex]n_P_r[/tex]
which is given by:
[tex]n_P_r=\dfrac{n!}{(n-r)!}[/tex]
Hence,
[tex]5_P_3=\dfrac{5!}{(5-3)!}\\\\5_P_3=\dfrac{5!}{2!}\\\\\\5_P_3=\dfrac{5\times 4\times 3\times 2}{2}\\\\\\5_P_3=5\times 4\times 3\\\\\\5_P_3=60[/tex]
Hence, the value is:
60
