Think of the image to the right as a bunch of Skittles candy. iPhone is ready to launch a new way to open your phone and advertise Skittles at the same time. You need to push four "buttons" or pieces of candy to set your passcode. You may touch a piece of candy more than once. How many passcodes are possible? The picture above contains two of each of the following colors: red, green, pink, dark blue, yellow, and light blue.
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
Given Information:
Total number of candies = 12 ( 2 each colour)
Number of candies to be selected = 4
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
