When a line of falling dominoes is used to illustrate the principle of mathematical induction, it is not necessary for all the dominoes to topple.Determine whether the statement makes sense or does not make sense, and explain your reasoning.
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.
When a line of falling dominoes is used to illustrate the principle of mathematical induction, it is not necessary for all the dominoes to topple.Determine whether the statement makes sense or does not make sense, and explain your reasoning.
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