Tentukan banyaknya permutasi dari kata:
1. BlackRanger
2. Brainly
NGASAL = WARN
JAWABAN BENAR + TERLENGKAP = BA
[tex] \color{aqua} \underbrace \bold{JAWABAN}[/tex]
1. 9.979.200 susunan
2. 5.040 susunan
--------------
[tex]\color{orange} \underbrace \bold{PENYELESAIAN}[/tex]
No. 1
BlackRanger
- b = 1
- l = 1
- a = 2
- c = 1
- k = 1
- r = 2
- n = 1
- g = 1
- e = 1
unsur ganda : a(2) , r(2)
jumlah huruf : 11
[tex] \tt P = \frac{N!}{K!} [/tex]
[tex] \tt P = \frac{11!}{2! \times 2!} [/tex]
[tex] \tt P = \frac{11 \times 10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}{(2 \times 1) \times (2 \times 1)} [/tex]
[tex] \tt P = \frac{39.916.800}{2 \times 2} [/tex]
[tex] \tt P = \frac{39.916.800}{4} [/tex]
[tex]\tt P = \underline{9.979.200 \: susunan} \\ \\ [/tex]
No. 2
Brainly
- b = 1
- r = 1
- a = 1
- i = 1
- n = 1
- l = 1
- y = 1
unsur ganda : –
jumlah huruf : 7
[tex] \tt P = N![/tex]
[tex]\tt P =7 ![/tex]
[tex]\tt P = 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1[/tex]
[tex] \tt P = \underline{5.040 \: susunan}[/tex]
