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A Close Friend Invited Anna To Her Birthday Party

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1. A close friend invited anna to her birthday party.

Anna has four new blouses (stripes, with


ruffles, long sleeved, and sleeveless) and 3 skirts (red, pink, and black) in her closet reserved for
such occasions.
a) Assuming that any skirt can be paired with any blouse, how many ways can Anna
select her outfit? List the possibilities.

Possible outfits:

̶ Blouse – Skirt
̶ Stripes – Red
̶ Stripes – Pink
̶ Stripes – Black
̶ Long Sleeved – Red
̶ Long Sleeved – Pink
̶ Long Sleeved – Black
̶ Blouse – Skirt
̶ Ruffles – Red
̶ Ruffles – Pink
̶ Ruffles – Black
̶ Sleeveless – Red
̶ Sleeveless – Pink
̶ Sleeveless - Black

b) How many blouse-and-skirt pairs are possible?

Answer: 12 blouse and skirt pairs are possible

c) Show another way of finding the answer in item a

Answer:
2. How many ways are there to order the letters in L.A.K.E.S?
3. In how many possible ways can you arrange 5 kilos of rambutan, 2 kilos of lanzones, 4 kilos of
Indian mangoes, and 3 kilos of chicos on the tables?

Learning task 2: give me the number of ways

In each problem, please indicate what kind of permutations is involved, then solve.

1. c

Learning task 3: to the next level

1. Give two examples of problems or situations in real life that involve permutations and solve
2. Discuss how you can use these sample situations in your daily life especially in making decisions
or formulating conclusions

Read the paragraph and answer the statements below

There are 7 friends who decided to go to Sampaloc lake for a ride, however there are only 4 available
bikes. While waiting, they take a picture in a row as a souvenir. They also buy food from the stalls. They
have 3 choices such as ihaw-ihaw, queckqueck, and hotdog on sticks and 2 kinds of beverages( buko
juice and palamig). While eating they sit on the view deck in a circular form, having so much fun. They
play a game of arranging all letters found in Sampaloc lake and get a new name related to it such as
clake, a barnacle goose.

1. Illustrate the possible ways of pairing the food qith beverages by using a tree diagram, systemic
listing and table
2. In how many different ways can they arrange to give everybody a chance to experience the ride
3. In how many ways can they arrange themselves in a row for picture taking?
4. In how man ways can they be seated on the view deck?

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