**Competency Evaluation on Understanding**

Instructions: Choose the one correct answer (time 15 minutes).

1. 5! Has the same mmeaning with …

A. 5^{2} C. 5∙4 E. 5∙4∙3∙2∙1

B. 5∙10^{5} D. 5∙4∙3

Answer: E, Explanation:

This operator “!” is factorial.

2. 11! Can be written to be …

A. 11∙10∙10! C. 11∙10∙9! E. 13∙12∙11!

B. 11∙9∙7! D. 11∙12∙13!

Answer: C, Explanation:

*n!=n∙(n-1)∙(n-2)!*

11!=11∙10∙9!

A. 2 B. 8 C. 10 D. 15 E. 20

Answer: D, Explanation:

A.

_{k}P

_{n}B.

_{n}P

_{k}C.

_{k}C

_{n}D.

_{n}C

_{k}E.

*n*!/

*k*!

Answer: B Explanation:

5. The value of

A. 60 B. 30 C. 20 D. 15 E. 10

Answer: D, Explanation:

_{7}P

_{3}=⋯

A. 7!/3! B. 7!/4! C. 7!/(4!∙3!) D. 4!/7! E. 3!/7!

Answer: Explanation:

This operator “P” is permutation.

_{5}P

_{2}is equal to …

A. 60 B. 20 C. 10 D. 7 E. 3

Answer: B, Explanation:

A. 5!/2! B. 5!/3! C. 5!/(2!∙2!) D. 5!/(2!∙3!) E. (3!∙2!)/5!

Answer: C, Explanation:

Remember permutation with repetition item(s).

A. 7!/3! B. 7!/4! C. 4!/3! D. 7!/(3!∙4!) E. 7!/(3!∙2!)

Answer: D, Explanation:

A.

_{8}P

_{3}B.

_{3}P

_{8}C.

_{8}C

_{3}D.

_{3}C

_{8}E. 8!/3!

Answer: C, Explanation:

There is no sequence. Use combination.

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