B. Read carefully. Solve the following problem. 1. Find the number of different arrangements of the set of the six letters J.O. Y, FU,L taken A. Evaluate the following: three at a time. a. Formula to be used: b. Quantities needed: c. Solution: 1. P(9,3) d. Answer: 2. In how many ways can three diamonds be drawn from a standard deck of 52 cards? a. Formula to be used: 2. 3[P( 6,2) b. Quantities needed: c. Solution: d. Answer:_ 3. C( 6,3) + C(4,2) 3. in how many ways Mr. Reyes invites three of nine friends in a snack? a, Formula to be used b. Quantities needed: C. Solution: 4. C(5,4) . C( 7,3) 1. Answer:_ 4. In how many ways can 10 people be seated in a circular table? a. Formula to be used: 5. [C(7,5) . C(9,6)] + C(5,3) b. Quantities needed: c. Solution: d. Answer 5. In how many ways can 4 red blocks, 5 yellow blocks, and 2 orange blocks be arranged in a row? a. Formula to be used: b. Quantities needed: TASK 11 C. Solution:_ d. Answer:_ Identify the union or intersection of events. C. Read the problem carefully and answer the following problem. 1. In how many ways can a committee of 4 be selected from a group of 10 persons if two 1. Given the numbers 5, 10, 15,20,25,30 persons insist on serving together? 2. In a wedding, a photographer is taking a group picture of 6 people in a row. In how many A = even numbers = ways can be done if a. There are no restrictions. B = divisible by 4 = b. Jerry and Diane insist on standing next to each other. c. Jerry and Diane refuse to stand next to each other. Find a. An B = and b. A U B= 3. In how many ways can a committee of 5 be formed from 5 juniors and 7 seniors if the committee must have 3 seniors? 2. In rolling a die, 4. A box contains 4 red balls, 8 green balls, and 7 yellow balls. In how many ways can 6 balls be chosen if there should be 2 balls of each color? A = multiple of 3 = 5. In how many ways can 5 Filipino books and 6 English books be arranged in a shelf if a. there are restrictions. b. 5 Filipino books are together. B = prime numbers = c. books of the same subject are together. Find a. An B= and b. A UB =_ TASK 2 3. In a spinning wheel numbered 1,2,3,4,5,6,7,8,9 Choose a formula that corresponds to the correct answer in the given problem. Write the letter only. A = odd numbers = A. C(n,r) (H-F) B. P = (n- 1)! C. P(n,r) = D. P= E. P(n,n) = n! B = perfect square numbers = 1. In how many ways can 5 boys be seated in a row of 5 stools? 2. In how many ways can 8 children be seated in a round table? Find a. An B = and b. A UB = 3. if 4 girls enter a jeepney in which there are 9 vacant seats, how many ways are there for them to be seated? 4. In how many ways can a committee of 7 be selected from a group of 12 men? 5. How many different ways can the letters of the word NEEDS be arranged? C. List down the union and intersection in the designated box. 15 10 15 11 14 13 2 AnB B 3 Union Inter