A company has 25 applicants to interview, and wants to invite 7 of them on the first day, 6 of them on the second day, 5 of them on the third day, 4 of them on the fourth day and 3 of them on the fifth day of a week. In how many ways can the applicants be scheduled? Select one: (257,6,5,4,3) None 25! P(25;7)xP(19;6) xP(14;5)xP(10;4)xP(7;3) C(25;7) xC(19;6)xC(14;5)xC(10;4)xC(7;3)
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.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps