Permutation: Possible Composition, Possible Formation
Example 8:
In an organization, will be chosen the leader, treasurer, and secretary from the 9 candidates that satisfy the criteria. Determine the number of management structure that possible from the 9 candidates.

The number of candidates is 9, and Three persons will be chosen to be leader, secretary, and treasurer. The number of possible management structure.

Exercise Competency Test 8
1. In an organization, will be chosen the leader, treasure and secretary from 8 candidates that satisfy the criteria. The number of possible management structure from the 8 candidates = …
A. 56 B. 336 C. 456 D. 1680 E. 6720
Answer: B, explanation:

2. The motor cross championship’s committee wants to determine the 1_st, 2_nd and 3_rd champion from the 25 participants who join the championship. The number of possible composition of championships is equal to …
A. 13800 B. 14800 C. 15800 D. 16800 E. 17800
Answer: A, explanation:

3. Seven highest officials from 7 nations are standing in a line, to be captured in photo. If one of the 7 officials have to be always in the middle of the line, then the number of possible formation is equal to …
A. 5040 B. 1440 C. 720 C. 240 E. 120
Answer: C, explanation:

4. A company has 10 shops. A company’s truck, for each a trip can load the needs of 3 shops, or it’s truck can stop at tree shops in one route. The number of the route which is can spent by the truck to deliver the needs of 10 shops is …
A. 820 B. 720 C. 620 D. 320 E. 120
Answer: B, explanation:

5. The number of numbers which is consist of three different numeral that can be arranged from the numerals: 1, 2, 3, 4, 5, 6 is …
A. 120 B. 60 C. 30 D. 15 E. 6
Answer: A, explanation:

6. A bench can only be sat by 5 persons. The number of the possible ways if 8 persons will sit on the bench is …
A. 6720 B. 336 C. 40 D. 36 E. 24
Answer: A, explanation: