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We Filipinos value the meal we take with our families and friends. One of the evidence of it is the different salo-salo or events that we have. Usually, a circular table is where we eat so that we can enjoy our food together with our kasalo. Suppose you are attending a fiesta and are eating in a circular table and the order is clockwise, find the following:

(a.) What is the possible sitting arrangements of 4 participants in the fiesta?

(b.) What is the possible sitting arrangements of 3 participants in the fiesta?

(c.) What is the possible sitting arrangements of 5 participants?

Provide an illustration for the permutation of the participants.

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Passwords are necessary form of security especially in our online accounts and devices like cellphone. It is composed of letters, numbers, or figures that may or may not repeat to secure safety and privacy. Suppose you are making a password for your phone using jumbled words. Find the following:

(a.) What is the possible letter arrangement of the word NANAY when jumbled?

(b.) What is the possible letter arrangement of the word PILI when jumbled ?

Provide an illustration of the permutation

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In a contest, the winner(s) are usually decided in an arrangement like the first place as the overall winner, then second, third, fourth, etc. Suppose some of your group mates joined a talent contest and they all have an amazing performance, find the possible winning order:

(a.) What is the possible order of winners if 4 people joined and the top 3 is chosen?

(b.) What is the possible order of winners if 4 people joined and the top 2 is chosen?

(c.) What is the possible order of first place winner if 4 people joined the contest?

Provide an illustration of the permutation.