Post Assessment Answer each permutation problem completely. Write your answer in a separate sheet of paper. 1. Five runners are running a race. In how many ways can a gold, silver. bronze medal be awarded. 2. Given the 7-letter word OBJECTS. In how many ways can we arrange the letters 4 at a time? 3. Player numbers 001, 002, 003, 004, and 005 will enter the athletic event. How many ways can the race be done in order? 4. In how many ways can 7 separate Math books be placed on a shelf?II. Examples and Discussion . Read and understand the problem given below. We are about to begin solving problems involving permutation...As we discussed earlier, there are several kinds/types of permutation. All of these can be found in the problem below. 1. OCNHS will conduct a beauty pageant. Search for Ms. OCNHS. For this year 10 students join on the said event. In how many ways can 3'd runner up, 2nd runner up, 1st runner up, and the title holder be selected? Given: n= 10 1=4 Formula: nPr = n! / (n-r)! , ner Solution: 10P4 = 101/ (10-4)! Substitution = 10! / 6! Simplify = 10x9x8x7x6x5x4x3x2x-1 6x5x4x3x2x1 = 10x9x8x7 10 P4 = 5. 040 possible ways