How many different letter arrangements can be made from the letters in the word of TELECOMMUNICATION?
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.
How many different letter arrangements can be made from the letters in the word of
TELECOMMUNICATION?
(b) How many different ways can a theatrical group select 2 musicals and 3 dramas from 11 musicals and 8 dramas to be presented during the year?
(c) Six students are running for the positions of president and vice-president, and five
students are running for secretary and treasurer. If the two highest vote getters in each of the two contests are elected, how many winning combinations can there be
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