Q 2. A battle between four players of the martial arts is under way. The following facts are known: (e) The good Lord Alpha will not survive if the evil Count Gamma survives (f) Either the evil Count Delta will die, or the good Lord Beta will die (g) Lord Alpha is the master of Kung Fu, while none of the other three are masters, and it is a fact that a master can only be beaten by another master (h) Count Gamma will die if and only if either Lord Alpha dies or Count Delta dies Exactly two players survive. Who are they?
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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