In a certain school, there are 180 pupils in 100level; 110pupils studyFrench,88 study German and 65 study Indonesian. If 40 pupils study both French and German,38 study German only. Find the number of pupils who study: (a.) All three languages (b.) Indonesian only(c.) None of the languages (d.) At least one language (e.) Either one or two of the three languages
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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