sarasotipokwal sarasotipokwal
  • 23-07-2021
  • Mathematics
contestada

How many permutations of letter of the word APPLE are there?​

Respuesta :

joaobezerra joaobezerra
  • 28-07-2021

Answer:

There are 60 permutations.

Step-by-step explanation:

Arrangements formula:

The number of possible arrangements of n elements is given by:

[tex]A_n = n![/tex]

With repetition:

For each element that repeats, with [tex]n_1, n_2, ..., n_n[/tex] times, the formula is:

[tex]A_n^{n_1,n_2,...,n_n} = \frac{n!}{n_1!n_2!...n_n}[/tex]

In this question:

Apple has 5 letters.

P appears two times. So

[tex]A _5^{2} = \frac{5!}{2!} = 60[/tex]

There are 60 permutations.

Answer Link

Otras preguntas

What is a equivalent fraction to 5/6?
Organisms that can produce their own food and feed themselves are called _____. self-feeders autotrophs heterotrophs
does any one know the formula for half life
Which of the following pathogens typically causes infections on the surface of the skin and nails, such as athlete's foot? A. Bacteria B. Fungi C. Parasitic
A fish tank has a base area of 45 cm 2 and is filled with water to a depth of 12 c,. If the height of the tank is a 25 cm, how much water will be needed to fill
What were some of the consequences suffered by 56 signers of the Declaration of Independence?
Which of the following regions was least impacted by water scarcity between 2000 and 2010? a. Africa b. Asia c. Canada d. Spain User: The Outer Banks of Nor
Solve for q. 3 (q+4/3) = 2
what is 0.08 written as a percent
Locke argued that all humans are born with what natural rights?