How many integers, greater than or equal to10000 but less than or equal to 39999, can be formed with the digits 0, 1, 2, 3, 4, 5: If repetition of digits is not allowed? If repetition of digits is allowed? Not divisible
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.
A1. How many integers, greater than or equal to10000 but less than or equal to 39999, can be formed with the digits 0, 1, 2, 3, 4, 5:
- If repetition of digits is not allowed?
- If repetition of digits is allowed?
- Not divisible by 4 or 9?
- Numbers that contain number 3 once only and repetition is allowed.
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