Efren, Mila, Dennis, and Susan were classmates at Nazareth School during their SHS, but in college, they went to different universities. One became a Bulldog (went to NU), one became a Tiger (went to UST), one became a Tamaraw (went to FEU), and one became a Warrior (went to UE). Determine who among them became a Bulldog, based on the following clues. (a) Efren, living alone, stays next door to the Bulldog and very far from the Warrior. (b) Dennis, also living alone, is younger than the Tamaraw and older than the Tiger. (c) Mila is the cousin of the Warrior and lives in the same house as the Tiger. Dennis O Efren O Mila Susan

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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.