Parents are having twin babies and have put 10 unique name cards in a bowl. * When the first baby is born, a parent draws a card and gives the baby that name. * When the second baby is born, the parent draws a card from the remaining names. How many combinations of names were possible for those two babies?
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.
Parents are having twin babies and have put 10 unique name cards in a bowl. * When the first baby is born, a parent draws a card and gives the baby that name. * When the second baby is born, the parent draws a card from the remaining names. How many combinations of names were possible for those two babies?
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