Q(3/5)
permutasi dari kata:
• Kita
• Balikan
(bukan digabung)![]()
permutasi dari kata:
• Kita
• Balikan
(bukan digabung)
Permutasi
• Kita
kita = 4!
K = 1!
i = 1!
t = 1!
a = 1!
Jadi,
= 4!/1! 1! 1! 1!
= 24/1
= 24
• Balikan
Balikan = 7!
B = 1!
a = 2!
l = 1
i = 1
k = 1
n = 1
Jadi
7!/1! 2! 1!1!1!1!
⧼7!⧽
❍= 7 × 6 × 5 × 4 × 3 × 2 × 1
❍= 42 × 5 × 4 × 3 × 2 × 1
❍= 210 × 4 × 3 × 2 × 1
❍= 840 × 3 × 2 × 1
❍= 2.520 × 2 × 1
❍= 5.040 × 1
❍= 5.040✔
=5.040/2
= 2.520
Penjelasan dengan langkah-langkah:
K = 1
I = 1
T = 1
A = 1
Total huruf 4 , Total huruf ganda 0 .
4!
(4 x 3 x 2 x 1 ) =
= (12 x 2 x 1)
= ( 24 x 1)
- = 24
B = 1
A = 2
L = 1
I = 1
K = 1
N = 1
Total huruf 7 , Total huruf ganda 2 .
7! + 2! =
= ( 7 x 6 x 5 x 4 x 3 x 2 x 1 ) + 2!
= ( 42 x 5 x 4 x 3 x 2 x 1) + 2!
= ( 210 x 4 x 3 x 2 x 1 ) + 2!
= ( 840 x 3 x 2 x 1 ) + 2!
= ( 2.520 x 2 x 1 ) + 2!
= ( 5.040 x 1 ) + 2!
= 5.040 + 2!
= 5.040 + ( 2 x 1 )
= 5.040 + 2
- = 5.042
