Question 25
Bin has a special set of 4 cards. Each card has a light (which can be turned on or off) and a unique value: 8, 4, 2, and 1, respectively. Bin can create different numbers by turning the lights on (represented by 1) or off (represented by 0) on the cards, and then summing the values of the cards with the lights on. For example: To create the number 5, Bin turns on the lights on the 4 and 1 cards, and turns off the lights on the 8 and 2 cards. The sequence of lights is then: 0 1 0 1, and the value is 4 + 1 = 5, as illustrated in the image. With this set of 4 cards, what is the total number of different values Bin can create?
