1) Choosing a subset of a set is an example of - 2) The product of a positive integer n and all the positive integers less than it is - 3) The different arrangements of objects where some of them are identical are called - 4) How many different 4-digit even numbers can be formed from the digits 1, 3, 5, 6, 8, and 9 if no repetition of digits is allowed? 5) In how many ways can 8 people be seated around a circular table if two of them insist on sitting beside each other? 6) Find the number of distinguishable permutations of the letters of the word PASS. 7) Ms. De Leon wants to produce different sets of test questions for her essay test. If she plans to do this by putting together 3 out of 5 questions she prepared, how many different sets of questions could she conduct? 8) In a town fiesta singing competition with 12 contestants, how many ways can the organizer arrange the first three singers? 9) Find the number of distinguishable permutations of the letters of the word EDUCATED. 10) If a combination lock must contain 5 digits, in how many ways can a code be formed from the digits 0 to 9? 11) In a room, there are 10 chairs in a row. In how many ways can 5 students be seated in consecutive chairs? 12) A caterer offers 3 kinds of soup, 7 kinds of main dish, 4 kinds of vegetable dish, and 4 kinds of dessert. In how many possible ways can a caterer form a meal consisting of 1 soup, 2 main dishes, 1 vegetable dish, and 2 desserts? 13) If C (n, 4) = 126, what is n?  a. 11 b. 10 c. 9 d. 7 14) If C (12, r) = 792, which of the following is a possible value of r? a. 8 b. 7 c. 6 d. 4 15) C (n, n) = a. N b. r c. 1 d. cannot be determined

Permutations & Combinations

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