14. 1. Choosing 3 posters to hang on a wall from
5 posters you are keeping
15. 2. Taking four-digit numbers, without
repetition of digits, from the number 345678
16. 3. Electing Chairperson, Vice Chairperson,
Secretary, Treasurer, Auditor, PRO, and
Peace Officer from a group of 20 people
17.
18.
19. Other Problems Involving Permutations:
1. There are 3 different History books, 4
different English books, and 8 different Science
books. In how many ways can the books be
arranged if books of the same subjects must be
placed together?
20. Other Problems Involving Permutations:
Three couples want to have their pictures
taken. In how many ways can they arrange
themselves in a row if couples must stay
together?
𝑃 = 3! 2!
𝑃 = 12
21. Other Problems Involving Permutations:
In how many ways can 8 people arrange
themselves in a row if 3 of them insist to stay
together?
𝑃 = 6! 3!
𝑃 = 4, 320
22. Other Problems Involving Permutations:
In how many ways can the letters of the word
ALGORITHM be arranged if the vowel letters
are placed together?
𝑃 = 7! 3!
𝑃 = 30 240
AOILGRTHM
23. Other Problems Involving Permutations:
In how many ways can the letters of the word
TIKTOKERIST be arranged if the consonant
letters are placed together?
𝑃 =
5!
2!
×
7!
2!3!
𝑃 = 25 200
Example: TKTKRSTIOEI
24. Other Problems Involving Permutations:
In how many ways can 7 people be seated
around a circular table if 3 of them insist on
sitting beside each other?
𝑃 = (5 − 1)! ∙ 3!
𝑃 = 144
