Which of the following sets are close under MULTIPLICATION? Choose ALL that apply. I. The set of even numbers II. The set of odd numbers III. The set of all whole numbers except 16 IV. The set of all whole numbers greater than 17
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.
Which of the following sets are close under MULTIPLICATION? Choose ALL that apply.
I.
The set of even numbers
II.
The set of odd numbers
III.
The set of all whole numbers except 16
IV.
The set of all whole numbers greater than 17
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