Permutasi daru kata 'Laila':
L = 2
a = 2
i = 1
Total huruf: 5
Total huruf ganda: 4
________________________________________________________
[tex]{\sf{1.) \: \frac{5!}{4!} }}[/tex]
[tex]{\sf{ = \: \frac{5 \: \times \: 4 \: \times \: 3 \: \times \: 2 \: \times \: 1}{4 \: \times \: 3 \: \times \: 2 \: \times \: 1} }}[/tex]
[tex]{\sf{ = \: \frac{20 \: \times \: 3 \: \times \: 2 \times \: 1}{12 \: \times \: 2 \: \times \: 1} }}[/tex]
[tex]{\sf{ = \: \frac{60 \: \times \: 2 \: \times \: 1}{24 \: \times \: 1} }}[/tex]
[tex]{\sf{ = \: \frac{120 \: \times \: 1}{24} }}[/tex]
[tex]{\bf{ = \: \frac{120}{24} }}[/tex]
[tex]\boxed{\sf{{ \bf{ = \: \boxed{\sf{{ \bf{5 }}}}}}}}[/tex]
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Permutasi daru kata 'Laila':
L = 2
a = 2
i = 1
Total huruf: 5
Total huruf ganda: 4
________________________________________________________
[tex]{\sf{1.) \: \frac{5!}{4!} }}[/tex]
[tex]{\sf{ = \: \frac{5 \: \times \: 4 \: \times \: 3 \: \times \: 2 \: \times \: 1}{4 \: \times \: 3 \: \times \: 2 \: \times \: 1} }}[/tex]
[tex]{\sf{ = \: \frac{20 \: \times \: 3 \: \times \: 2 \times \: 1}{12 \: \times \: 2 \: \times \: 1} }}[/tex]
[tex]{\sf{ = \: \frac{60 \: \times \: 2 \: \times \: 1}{24 \: \times \: 1} }}[/tex]
[tex]{\sf{ = \: \frac{120 \: \times \: 1}{24} }}[/tex]
[tex]{\bf{ = \: \frac{120}{24} }}[/tex]
[tex]\boxed{\sf{{ \bf{ = \: \boxed{\sf{{ \bf{5 }}}}}}}}[/tex]