1. Which concept is involved when the letters of the word "LOVE" taken 4 at a time equals 24?

A. Combination
B. FPC
C. Permutation
D. Probability


2. In how many ways can the letters of the word "SWIMMING" be arranged?

A. 10,800
B. 10,080
C. 1,860
D. 1,680


3. There are three identical green flags, three identical white flags, and two identical red flags. Using all eight flags, how many signals can be made?

A. 560
B. 1,120
C. 6,720
D. 20,160


4. How many six- digit numbers can be made using the digits 9,4,4,3,4 and 9?

A. 720
B. 360
C. 120
D. 60


5. A department store sells two jackets, two same shirts, two same ties, and four same pairs of pants. How many different suits consisting of jacket, shirt, tie and pants are possible?

A 25,200
B 19,120
C 18,900
D. 4,200


6. How many different ten-digit numerals can be written using digits 1,3,3,4,4,5,5,6,6, and 9?

A. 226
B. 2,268
C. 22,860
D. 226,800


7. Find the number of distinguishable permutations of the letters of the word "PANAGBENGA".

A. 3,628,800
B. 518,400
C. 302,400
D. 151,200


8. In how many ways can three identical mathematics magazine, two identical statistics magazine, and four identical science magazine be put in a stack?

A. 362,880
B. 40,320
C. 1,728
D. 1,260


9. In how many ways can nine people be seated around a circular table?

A. 362,880
B. 40,320
C. 5,040
D. 720


10. How many ways can 12 people be seated around a circular table if two insist to seat next to each other?

A. 3,628,800
B. 7,025,760
C. 3,062,800
D. 725,760


11. Five different keys are to be placed on circular key chain. How many different arrangements are there?

A. 4
B. 5
C. 12
D. 24


12. Seven different beads will be put together to form a bracelet with a lock. How many ways can the beads be arranged?

A. 5,040
B. 2,520
C. 720
D. 360


13. How many ways can eight unique beads be are arranged on a chain without a clasp?

A. 40,320
B. 20,160
C 5,040
D. 2,520


14. In how many ways can six people be seated in a round table?

A. 24
B. 120
C. 720
D. 5,040


15. Ten people are to be seated at a roundtable. One of them is to be seated close to the door. How many arrangements are possible?

A. 479,001,600
B. 39,916,800
C. 3,628,800
D. 362,880
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