n how many ways can we arrange 3 boys and 3 girls in a circular table if: A. 2 boys hate each other and would not want to sit beside each other? B. 3 boys and 3 girls form 3 couples and they are to sit beside each other? C. B1 and B2 should sit opposite to each other D. All boys and girls are together? E. No constraints
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.
In how many ways can we arrange 3 boys and 3 girls in a circular table if:
A. 2 boys hate each other and would not want to sit beside each other?
B. 3 boys and 3 girls form 3 couples and they are to sit beside each other?
C. B1 and B2 should sit opposite to each other
D. All boys and girls are together?
E. No constraints
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