6) Suppose you are randomly assigned a 6 digit password for you West Valley portal account where the possible digits are between 0 and 9, including 0 and 9, and you can repeat digits. a) How many passwords are possible? b) What's the probability that the password assigned to you has a 4 in the second spot? c) What's the probability that the password assigned to you has exactly three 4s? d) What's the probability that the password assigned to you has at least five 4s?
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.
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