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Matematika15.wordpress.com
2 King’s Learning
Be Smart Without Limits
PERMUTASI – FAKTORIAL
1. Hitunglah:
a. 7! d.
16!
3!
+
12!
4!
b.
20!
18!
e.
9!
7!
×
9!
2!
c.
11!
8! 11−8 !
f.
11!
7!
+
11!
8!
:
12!
8!
2. Sederhanakanlah:
a.
𝑛!
(𝑛−1)!
c.
(𝑛+3)!
(𝑛+1)!
b.
(𝑛+1)!
(𝑛−2)!
d.
(𝑛+2)!
(𝑛−1)!
3. Tunjukkanlah:
a.
𝑛+2 !
𝑛!
= n2
+ 3n +2
b.
𝑛+1 !
𝑛−1 !
= n2
+ n
c.
𝑛−4 !
𝑛−6 !
= n2
– 9n + 20
4. Tentukan nilai n dari:
a.
n+1 !
n
= 30 c.
n−1 !
n+1 !
= 90
b.
n!
n−2 !
= 56 d.
n−1 !
n+2 !
=
1
210
5. Hitunglah:
a. 9P4 d. 12P8
b. 6P5 e. 31P5
c. 4P4 f. 40P28
6. Tentukan nlai n dari:
a. nP3 = 60 c. 6 x n+1P3 = 7 x 20P3
b. 9P5 = 3 x nP4 d. nP4 = 42 x 9P2
7. Tentukan nilai n darI:
a. nCn-2 = 190 d. nC10 = nC5
b. nC15 = nC11 e. n+4C3 = 35
c. 4 x nP2 = 3 x nC3 f. n+2C3 = 4 x nC2
8.