am has five entrants in a men’s ski event. The coach would like the 1st, 2nd, and 3rd places to go to the team members. In how many ways can the five team ent
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.
A ski team has five entrants in a men’s ski
The fundamental counting principle says that if n ways are there to complete one thing, and m ways to complete the other thing, the number of ways to do both the thing can be given as:
Number of ways = n * m
The ski team has five entrants in a men’s ski event, i.e., n=5
The coach would like the 1st, 2nd, and 3rd places to go to the team members.
The number of ways, the five-team entrants achieve the first three positions can be calculated as:
= 5 x 4 x 3
=60 ways
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