36 employees work in a company X. For a special purpose, the Chairpersor of that company chose 8 employees' names ard kept his selection secret. The Deputy Director and the General Manager also chose 4 and 5 employees respectively without letting each other know about their selections. (There might be common employees within DD's choices and GM's choices ). What is the probability that exactly 1 of DD's chosen employees and 2 of GM's chosen employees match the list of the Chairperscn?
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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