From a group of 28 students, how many ways can all 28 of them stand in a line [ Choose ] three of them be chosen so that [ Choose ] one is class President, one is Vice-President, and one is the
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.
![From a group of 28 students, how many ways can
all 28 of them stand in a line
[ Choose ]
three of them be chosen so that
[ Choose ]
one is class President, one is
Vice-President, and one is the
Fool.
three of them are chosen and
[ Choose ]
given extra homework
28 are chosen to receive As
V[ Choose ]
28 C 28
use Fundamental Principle of Counting or 28 P 28
3C 28
28 C 3
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28 P 3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Feddc074d-385a-49b0-8f1a-10711d05ed7c%2F99219a77-2046-4ad2-b974-debd38524b83%2F1zlbr3w_processed.jpeg&w=3840&q=75)
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