~Susunan kata dari – The – Feels

Jawaban:

~ Permutation

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THE

• Total unsur = 3!
• Unsur ganda = –

P = 3.2.1

= 6 susunan ☑

FEELS

• Total unsur = 5!
• Unsur ganda = 2!

P = 5.4.3.2.1/2.1

= 120/2

= 60 susunan ☑

SOLUTION :

Formula:

nPr =n!  / (n1! n2! . . . nk!)

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"THE"

• n = 3
• Subsets : T = 1; H = 1; E = 1;
• n1(T) = 1, n2(H) = 1, n3(E) = 1

nPr formula

=3!  / (1! 1! 1! )

= 1 x 2 x 3  / {(1) (1) (1)}  

= 6 / 1

= 6

In 6 distinct ways, the letters of word "THE" can be arranged.

THE HTE ETH TEH HET EHT

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"FEELS"

• n = 5
• Subsets : F = 1; E = 2; L = 1; S = 1;
• n1(F) = 1, n2(E) = 2, n3(L) = 1, n4(S) = 1

nPr formula

= 5!  / (1! 2! 1! 1! )

= 1 x 2 x 3 x 4 x 5 / {(1) (1 x 2) (1) (1)}

= 120  / 2

= 60

In 60 distinct ways, the letters of word "FEELS" can be arranged.

EEFLS EEFSL EELFS EELSF EESFL EESLF EFELS EFESL EFLES EFLSE EFSEL EFSLE ELEFS ELESF ELFES ELFSE ELSEF ELSFE ESEFL ESELF ESFEL ESFLE ESLEF ESLFE FEELS FEESL FELES FELSE FESEL FESLE FLEES FLESE FLSEE FSEEL FSELE FSLEE LEEFS LEESF LEFES LEFSE LESEF LESFE LFEES LFESE LFSEE LSEEF LSEFE LSFEE SEEFL SEELF SEFEL SEFLE SELEF SELFE SFEEL SFELE SFLEE SLEEF SLEFE SLFEE

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PERMUTATIONS

SINOGEN