A fruit bowl contains 3 bananas, 2 apples, 4 kiwi and 2 oranges. Suppose you choose 2 items from the bowl for lunch. In order to determine how many possible outcomes exists, you note that this count is done a) with replacement , where order matters b) without replacement where order matters c) with replacement where order doesn\'t matter d) without replacement where order matters Please explain the logic Solution a). with replecement combination problem, n=11 total combination with replacement = 3C2 + 2C2 +4C2 +2C2 +3C1*2C1 +3C1*4C1 +3C1*2C1 +2C1*4C1 +2C1*2C1 +4C1*2C1 b). without replacement total combination without replacement = 3C1*2C1 +2C1*1C1 +4C1*3C1 +2C1*1C1 +3C1*2C1 +3C1*4C1 +3C1*2C1 +2C1*4C1 +2C1*2C1 +4C1*2C1.