Answered

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How many ways the letters of the word TREE be rearranged?

Sagot :

AestheticGirll

Preliminary:

Permutations are different arrangements or sequences that are formed from part or all of the objects.

The formula for permutations without double elements is P = n!

The formula for permutations with multiple elements is P = n!/k!

The formula for cyclical permutations is (n – 1)!

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A combination is a collection of some or all objects regardless of their order.

The formula for the combination is C(n, r) = n!/(r! (n – r)!

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Answer:

12 word order

Step-by-step explanation:

"TREE"

t = 1

r = 1

e = 2

  • Number of letter = 4
  • Double element = letter e(2)

[tex]P = \frac{n!}{k!} [/tex]

[tex]P = \frac{4 \times 3 \times 2 \times 1}{2 \times 1} [/tex]

[tex]P = \frac{24}{2} [/tex]

[tex]\boxed{\tt {{\colorbox{pink}{P = 12 \: word \: order}}}}[/tex]

Answer Details:

Subject: Mathematics

Class : 12 high school

Material: Chapter 7-Rules for enumeration

Categorization Code: 12.2.7

Keywords: Permutations of the word "TREE"

sorry if my english is bad :)

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