- 1. The FundamentalCounting Principle
2. Lets attend a party..What are the things that come to our
mind?Foods and drinksoutfit 3. Suppose a guest has a choice of
juice drink(orange, buko, or mango) and dessert (Lecheflan, cake,
fruit salad, or ice cream). Howmany distinct juice-dessert pairs
arepossible? The total number ofjuice-dessert pairs= 3 x 4 = 12 4.
You are the host of the party. In how manyways can you select your
outfit?The number of ways youBlouses Skirts/pants shoes can dress
yourself = 8 x 4x3 = 96 5. The Fundamental Counting Principle (also
known as Multiplication Rule or theSequential Counting Principle)
If one thing can be done independently in n differentways, and if a
second thing can be doneindependently in m different ways and the
third thingcan be done independently in o differentways, then, the
total number of ways in which all thethings maybe done in the
stated order is the productof m, n, and o. 6. Fixing Skills: Click
the letter that corresponds to the correct answer:A. The famous
dancing babyprepared 5 different steps in adance number. In how
manyways he can present them?a. 25 b. 120c. 125 d. 625 7. B. A
restaurant has a lunchspecial which consists of asandwich, soup,
dessert anddrink for P200.00. They offer thefollowing
choices:Sandwich: chickensalad, ham, tuna, and roast
beefSoup:tomato,chickennoodle, vegetableDessert: cookie and
pieDrink: tea, coffee, coke, diet cokeand spriteHow many lunch
specials arethere?a. 160b. 240c. 320 d. 540 8. c. The 10finalists
of 2011Miss Universebeauty pageantare posing for apicture. If
youare thephotographer, in how manyways can youarrange them ifthey
are tostand in onerow?a. 328800 b. 368800 c. 362800 d. 3628800 9.
Help? 10. Ans: b . 120 NEXT 11. A. The famous dancing baby prepared
5 different steps in a dance number. In how many ways can he
present them?No. of ways = 5 X 4 X 3 X 2 X 1 = 120 12. help 13.
Ans: a . 160 NEXT 14. B. A restaurant has a lunch special which
consists of asandwich, soup, dessert and drink for P200.00. They
offerthe following choices:Sandwich: chicken salad, ham, tuna, and
roast beefSoup: tomato, chicken, noodle, vegetableDessert: cookie
and pieDrink: tea, coffee, coke, diet coke and spriteHow many lunch
specials are there?Total number of lunch specials= 4 x 4 x 2 x 5 =
160 15. Help? 16. Ans: d. 3628800Awesome NEXT 17. c. The 10
finalists of 2011 Miss Universe beauty pageant areposing for a
picture. If you are the photographer, in how manyways can you
arrange them if they are to stand in one row?Total number of ways=
10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 3628800 18.
Evaluation:Directions: Click the correct answer.1. You are taking a
test that has five True/Falsequestions. If you answer each question
with Trueor False and leave none of them blank, in howmany ways can
you answer the whole test? A. 10 B. 15C. 32 D. 25 19. 2. Six
students in a speech class all have to give therespeech on the same
day. One of the students insists onbeing first. If this students
request is granted, howmany different ways are there to schedule
thespeeches?A. 120 B. 720C. 1440D. 1460 20. 3. If ice cream sundaes
come in 5 flavors with 4possible toppings, how many different
sundaescan be made with one flavor of ice cream andone topping?A. 9
B. 16C. 20 D. 24 21. 4. At planting season, a farmer has theoption
of planting rice, corn orsugarcane: of using urea, guano,
horsemanure, or compost for fertilizer; andof using homemade herbal
extract Tor A for pesticide. In how many wayscan he plant his crop
if he has theoption to plant one crop and use onefertilizer and one
pesticide only?A. 32 B. 24C. 20D. 16 22. 5. Five friends Jose,
Carlos, Clara, Ted, Flor andMary took a jeepney ride in going home
fromschool. There were exactly six empty seats in thevehicle. In
how many ways can they seatthemselves?A. 720 B. 840 C. 900 D. 920
23. Congratulationsyou made it!! 24. 2. Six students in a speech
class all have to give therespeech on the same day. One of the
students insists onbeing first. If this students request is
granted, howmany different ways are there to schedule
thespeeches?A. 120 B. 720C. 1440D. 1460 25. 3. If ice cream sundaes
come in 5 flavors with 4possible toppings, how many different
sundaescan be made with one flavor of ice cream andone topping?A. 9
B. 16C. 20 D. 24 26. 4. At planting season, a farmer has theoption
of planting rice, corn or sugarcane:of using urea, guano, horse
manure, orcompost for fertilizer; and of usinghomemade herbal
extract T or A forpesticide. In how many ways can he planthis crop
if he has the option to plant onecrop and use one fertilizer and
onepesticide only? A. 32B. 24 C. 20 D. 16 27. 5. Five friends Jose,
Carlos, Clara, Ted, Flor andMary took a jeepney ride in going home
fromschool. There were exactly six empty seats in thevehicle. In
how many ways can they seatthemselves?A. 720 B. 840 C. 900 D. 920
28. very good 80 % 29. 3. If ice cream sundaes come in 5 flavors
with 4possible toppings, how many different sundaescan be made with
one flavor of ice cream andone topping?A. 9 B. 16C. 20 D. 24 30. 4.
At planting season, a farmer has the option ofplanting rice, corn
or sugarcane: of usingurea, guano, horse manure, or compost
forfertilizer; and of using homemade herbal extractT or A for
pesticide. In how many ways can heplant his crop if he has the
option to plant onecrop and use one fertilizer and one
pesticideonly?A. 32 B. 24 C. 20 D. 16 31. 5. Five friends Jose,
Carlos, Clara, Ted, Flor andMary took a jeepney ride in going home
fromschool. There were exactly six empty seats in thevehicle. In
how many ways can they seatthemselves?A. 720 B. 840 C. 900 D. 920
32. Good 60 % Help? 33. 4. At planting season, a farmer has the
option ofplanting rice, corn or sugarcane: of usingurea, guano,
horse manure, or compost forfertilizer; and of using homemade
herbal extractT or A for pesticide. In how many ways can heplant
his crop if he has the option to plant onecrop and use one
fertilizer and one pesticideonly? A. 32B. 24C. 20 D. 16 34. 5. Five
friends Jose, Carlos, Clara, Ted, Flor andMary took a jeepney ride
in going home fromschool. There were exactly six empty seats in
thevehicle. In how many ways can they seatthemselves? A. 720 B.
840C. 900 D. 920 35. 40 %try again? Help? 36. 5. Six friends Jose,
Carlos, Clara, Ted, Flor andMary took a jeepney ride in going home
fromschool. There were exactly six empty seats in thevehicle. In
how many ways can they seatthemselves?A. 720 B. 840C. 900 D. 920
37. 25 %Try again?Help? 38. 0%try again Help? 39. Answer to
exercises:1. 2 x 2 x 2 x 2 x 2 = 322. 1 x 5 x 4 x 3 x 2 x 1 = 1203.
5 x 4 =204. 3 x 4 x 2 =245. 6 x 5 x 4 x 3 x 2 x 1 = 720 40.
Prepared by:MRS. EMMA C. BALBASTROBULALACAO NHS
