Page 22 - 3_Dinda Erliananda_Counting Principles

Dinda Erliananda Teaching Materials – SMA Class XII – Enumeration Rules

PRACTICE

Subjective

1. There are 5 men and 4 women sitting in a row with the rule that women get an even
Questions

number of seats. How many sitting positions are possible?

2. There are 6 men and 5 women.

a. In how many ways can they be seated in 11 long rows of chairs?

b. In how many ways can they sit on the 11 long chairs so that the men and women

sit alternately?

3. Of the 13 employees, two employees will be selected for the positions of director and

director. What is the possible composition of employees for the position?

4. How many numbers can be formed from the set of numbers without

repetition if the number is:

a. consists of 5 digits, and

b. consists of 4 digits?

5. How many permutations of letters in the word CURRICULUM, if:

a. starting with the letter M,

b. starting with the letter C, and

c. starting with the letter R?

6. On a road segment, decorative lights are installed consisting of 2 yellow bulbs, 5 red

bulbs, and 3 green bulbs. Determine how to install the decorative light if bulbs of the

same color are indistinguishable.

7. a.Show that

b. Show that

c. Show that

d. Calculate r, if known 3.024and =126

e. Calculate C(6, 3) + C(6, 2)

8. Calculate the value of n in the following statement:

a.

b. –

c.

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