. solves problems involving permutations and combinations (MIOSP-IIId-e-1) Permutation vs Combination: Permutation order matters while Combination order doesn't matter. Example: "My fruit salad is a combination of avocados, bananas and watermelons" We don't care what order the fruits are in, they could also be "bananas, watermelons and avocados", its the same fruit salad. Example: "The combination to the ATM pin number is 3124." Now we do care about the order., "1234" won't work, nor will "4213". It has to be exactly 3124. Exercises: Solve the following: 1. Four different math, six different physics and two different chemistry textbooks are placed on a shelf. What is the number of possible combinations of arranging the textbooks if the textbooks from each subject must be grouped together? 2. 5 red, 2 white and 3 blue balls are arranged in a row. If the balls of like color are not distinguished from each other, how many possible ways can they be ordered? 3. Suppose there is a set of 8 candies. In how many ways, 4 candies can be selected from this set (without repetition)? 4. Suppose there is a set of 10 vegetables. In how many ways, 6 vegetables can be selected from this set (without repetition)? 5. Suppose Alice has 5 red balls and 4 green balls. She wants to arrange all the balls in a row in such a way that the red balls occupy the odd positions. How many arrangements are possible