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9. If I will arrange the word DIFFERENT in different ways. Which of the following is the best solution?
9!
9!
A. P= 9!
B. P = (9-1)!
C. P =
D. P =
(9-4)!
212!
10. Find the number of permutations of the elements in the set {S, M, 1, L, E}.
A. 5
B. 110
C. 15
D. 120
11. What is P(9,3) =
A. 126 B. 504
C. 3,024
D. 15, 120
12. How many permutations can be made with all the letters in the word COFFEE?
A. 160
B. 170
C. 180
D. 190
13. How many 2-digit permutations can be formed using the 6 digits (1, 2, 3, 4, 5, 6) exactly once?
A. 30
B. 42
C. 49
D. 56
14. Nine boy scouts are seated around a camp fire. How many ways can they be arranged?
A. 10, 080B. 24,720
C. 32,624
D. 40, 320
15. How many permutations can be made from the letters in the word FLOWER if 3 letters are used at
time?
A. 24
B. 60
C. 80
D. 120​

Sagot :

Answer:

9. D. P =  (9-4)! 2!2!

10. P(n,r)=P(5,5)  

= 5!/(5−5)!

= D. 120

11. P(n,r) = P(9,3)  

= 9!/(9−3)!

= B. 504

12. COFFEE = 6 letters

P(n,r) = P(6,6)  

= 6!/(6−6)!

= 720

Repetitions: F (2 times), E (2 times)

720/(2!2!) = C. 180

13. P(n,r) = P(6,2)  

= 6!/(6−2)!

= A. 30

14. (n−1)! = (9−1)!  

= 8!

= D. 40,320

15. FLOWER = 6 letters

P(n,r) = P(6,3)  

= 6!/(6−3)!

= D. 120