Subject: Probability and Statistics

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Activity 1 A) Fill in the blanks with words or expressions that will best complete the statements below. The number of possible arrangements of objects/ elements in a set when order matters is called It is denoted by the expression and is read as B) Match each case of permutations of 'n' objects from a set of 'n' distinct objects on the left to its corresponding permutation notation on the right. Write the correct answer on the space provided before each number. Cases Permutation Notation 1. Permutation of n objects A) P = (n-1)! taken r at a time B) n Pr= n! 2. Permutation of n objects (n-r)! taken n at a time C) P = (-1)! 3. Permutation with identical 2 objects D) Pn = n! 4. Permutation of n distinct objects arranged in a circle E P = n! 5. Permutation of n different objects around a key ring F) P = n!Activity 2 Consider the following problems: 1. Using the digits 1, 2, and 3, how 2. Three Players were numbered as many two-digit numbers can be formed 1, 2, and 3. How many teams of two if repetition is not allowed? List down all players can be formed? the possible numbers below. List down all possible teams of two players below.Activity 3: 0 Show combination notation in solving each of the following problems. 1) How many combinations of three letters can be made from the letters B, E, A, U, T, and Y? 2) There are 8 persons inside a room. If each person is paired with another person to dance cha- cha, how many pairs of dancers are there in all? 3) From the letters of the word LINEAR, in how many ways can one consonant and two vowels be chosen? 4) I have 5 coins in my purse; 1 five-centavo coin, 1 ten-centavo coin, 1 one-peso coin, 1 five-peso coin and 1 ten-peso coin. If I pull out 3 coins, how many different amounts of the three pulled coins are possible? 5. A box contain 6 distinct red balls and 4 distinct blue balls. In how many ways can 3 balls be drawn randomly from the box if: a. the color is not considered? b. 2 balls is red and one is blue? c. all three balls are red?Activity 4. Summarize what you have learned by accomplishing the following activity: At least 2 concepts / definitions learned about combination: 1. 2. 3. 1 important skill that I should have to understand easily the lesson