# 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) ×P(14;5)xP(10;4)×P(7;3) C(25;7)xC(19;6)xC(14;5)xC(10;4)xC(7;3)

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!

$P\left(25;7\right)×P\left(19;6\right)×P\left(14;5\right)×P\left(10;4\right)×P\left(7;3\right)$

$C\left(25;7\right)×C\left(19;6\right)×C\left(14;5\right)×C\left(10;4\right)×C\left(7;3\right)$
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sodoendev7
As given that,
There are total 25 applicants.
So first day he can schedule 7 people's Interview in 25P7 ways.
Second day he can schedule 6 people's Interview in 19P6 ways.
And so on...
So option (d) is correct.