Respuesta :

Answer:   120

Step-by-step explanation:

Permutation means that order matters.

[tex]_nP_r = \dfrac{n!}{(n-r)!}\quad \text{where n is the total \# of items and r is the quantity chosen} \\\\\text{In the given problem, n = 5 and r = 4}\\\\\\_5P_4=\dfrac{5!}{(5-4)!} = \dfrac{5\times 4\times 3\times 2 \times 1}{1}=120[/tex]

Answer:

The permutation of five letter alphabet is,120

Step-by-step explanation:

Definition of permutation:

When the order of the arrangements counts, a permutation is a mathematical technique for determining the number of alternative arrangements in a collection. Choosing only a few things from a list in a specific order is a common mathematical issue.

Permutations are frequently confused with combinations, another mathematical approach.

According, to question:

Permutation means that order matters.

[tex]_{5} p_4 =5! / ( 5-4)[/tex]

    =  5[tex]5*4*3*2*1/1[/tex]

    = 120

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