SPESIAL – HARI PAHLAWAN

By Posted on

Yang ke-76
10 November 2021
Tentukan banyaknya permutasi huruf dari kata dari :
-) HARI
-) PAHLAWAN
-) YANG
-) KE-76 (smw unsur)

SPESIAL – HARI PAHLAWAN

{boxed{{pink {hari}}}}

h = 1 \ a = 1 \ r = 1 \ i = 1

Total => 4 huruf

Unsur ganda => _

= 4!

= 4 times 3 times 2 times 1

= 12 times 2 times 1

= 24 times 1

= {boxed{{24 : susunan : kata}}}✓

°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°

{boxed{{blue {pahlawan}}}}

p = 1 \ a = 3 \ h = 1 \l = 1 \ w = 1 \ n = 1

Total => 8 huruf

Unsur ganda => A ( 3 )

8 ! div 3 !

= (8 times 7 times 6 times 5 times 4 times 3 times 2 times 1) div (3 times 2 times 1)

= (56 times 6 times 5 times 4 times 3 times 2 times 1) div (6 times 1)

= (336 times 5 times 4 times 3 times 2 times 1) div 6

= (1.680 times 4 times 3 times 2 times 1) div 6

= (6.720 times 3 times 2 times 1) div 6

= (20.160 times 2 times 1) div 6

= 40.320 div 6

= 6.720 : susunan : kata✓

°°°°°°°°°°°°°°°°°°°°

{boxed{{red {yang}}}}

y = 1 \ a = 1 \ n = 1 \ g = 1

total = 4 huruf

unsur ganda = _

= 4!

= 4 times 3 times 2 times 1

= 12 times 2 times 1

= 24 times 1

= 24 : susunan : kata✓

°°°°°°°°°°°°°°°°

{boxed{{ke - 76}}}

k = 1 \ e = 1 \ .. = 1 \ 7 = 1 \ 6 = 1

total = 5 huruf

unsur ganda = _

= 5 !

= 5 times 4 times 3 times 2 times 1

= 20 times 3 times 2 times 1

= 60 times 2 times 1

= 120 times 1

= 120 : susunan : kata✓

Penjelasan dengan langkah-langkah:

HARI

H = 1

A = 1

R = 1

I = 1

Total = 4 huruf

Unsur ganda = –

4!

= 4×3×2×1

= 12×2×1

= 24×1

= 24 Susunan kata ☑

▪︎■▪︎■▪︎■▪︎■▪︎■▪︎■▪︎■▪︎■▪︎■▪︎

PAHLAWAN

P = 1

A = 3

H = 1

L = 1

W = 1

N = 1

Total = 8 huruf

Unsur ganda = A (3)

8! ÷ 3!

= ( 8×7×6×5×4×3×2×1 ) ÷ ( 3×2×1 )

= ( 56×6×5×4×3×2×1 ) ÷ ( 6×1 )

= ( 336×5×4×3×2×1 ) ÷ 6

= ( 1.680×4×3×2×1 ) ÷ 6

= ( 6.720×3×2×1 ) ÷ 6

= ( 20.160×2×1 ) ÷ 6

= 40.320 ÷ 6

= 6.720 Susunan kata ☑

▪︎■▪︎■▪︎■▪︎■▪︎■▪︎■▪︎■▪︎■▪︎■▪︎■▪︎■▪︎

YANG

Y = 1

A = 1

N = 1

G = 1

Total = 4 huruf

Unsur ganda = –

4!

= 4×3×2×1

= 12×2×1

= 24×1

= 24 Susunan kata ☑

▪︎■▪︎■▪︎■▪︎■▪︎■▪︎■▪︎■▪︎■▪︎■▪︎■▪︎

KE-76

K = 1

E = 1

– = 1

7 = 1

6 = 1

Total = 5 huruf

Unsur ganda = –

5!

= 5×4×3×2×1

= 20×3×2×1

= 60×2×1

= 120×1

= 120 Susunan kata ☑

Apakah betul kak?

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CMIWW