A certain digital music player randomly plays each of 10 songs. Once a song is played, it is not repeated until all the songs have been played. In how many Different ways can the player play the 10 songs? Ans: b.Forming a Committee Four members from a 50-person committee are to be selected randomly to serve as chairperson, vice-chairperson, secretary, and treasurer. The first person selected is the chairperson; the second, the vice-chairperson; the third, the secretary; and the fourth, the treasurer. How many different leadership structures are possible? Ans: C Simple Random Sample How many different simple random samples of size 7 can be obtained from a population whose size is 100?
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 certain digital music player randomly plays each of 10 songs.
Once a song is played, it is not repeated until all the songs have been played. In how many
Different ways can the player play the 10 songs?
Ans:
b.Forming a Committee Four members from a 50-person committee are to be selected randomly
to serve as chairperson, vice-chairperson, secretary, and treasurer. The first person selected is
the chairperson; the second, the vice-chairperson; the third, the secretary; and the fourth,
the treasurer. How many different leadership structures are possible?
Ans:
C Simple Random Sample How many different simple random samples of size 7 can be obtained from
a population whose size is 100?
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