1. In how many ways can 8 horses be arranged in a merry-go-round 2. Thirteen students are applying for 3 scholarship slots. How many ways can the scholarships be awarded? 3. How many different 9 letter words (real or imaginary) can be formed from the letters in the word COMMITTEE?
DIRECTION: Give the right answer. (answers only)
1. In how many ways can 8 horses be arranged in a merry-go-round
2. Thirteen students are applying for 3 scholarship slots. How many ways can the scholarships be awarded?
3. How many different 9 letter words (real or imaginary) can be formed from the letters in the word COMMITTEE?
4. In how many ways can 7 people be line up in a picture?
5. In how many ways can the first five players of a basketball team be chosen from a 12-member basketball team?
6. A restaurant offers an ice cream dessert for Php 81. The flavors to chose are vanilla, chocolate, strawberry, ube, and mango. Then, there is a choice of one topping from caramel, hot fudge, chocolate chips, sprinkles, rice crispy, or oreo. Finally, there is a choice of add on from pretzel, brownies, rice cakes, or ice cream cone. How many different ice dessert combinations are possible?
7. What is the value of P(12,5)?
8. There are 10 points on the circle, How many triangles can be inscribed with these points as vertices?
9. What is the value of C(15,15)?
10. Adrian is going out for the evening. He will put on one of 8 suits, one pair out of 3 pairs of shoes, and one pair out of 5 pairs of pants. In how many ways can he choose?
11. What is the value of (7!)-(6!)+(5!)(4!)?
12. What is the value of 8!?
13. A class has 30 students. In how many ways can 4 class offices consisting of presidents, vice-president, secretary, and treasurer be chosen?
14. How many different words (real or imaginary) can be formed using all the letters in the word MISSISSIPPI?
15. What is the value of (3!)(5!)?
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