License plates consists of three letters followed by three numbers. How many different license plates are possible if there is no repetition and a. The three-digit number must be even? b. The three-digit number must be greater than 500? c. The first digit in the three-digit number cannot be 0?
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.
5. License plates consists of three letters followed by three numbers. How many
different license plates are possible if there is no repetition and
a. The three-digit number must be even?
b. The three-digit number must be greater than 500?
c. The first digit in the three-digit number cannot be 0?
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
