A. There are 5 people to fill the first place, 4 remaining to fill the second, 3 remaining to fill the third, 2 remaining to the fourth place and only 1 remaining to fill the fifth. That means there are 5 factorial (5!) ways. 5! = 5 x 4 x 3 x 2 x 1 = 120
B. Number of ways to arrange 4 females among themselves = 4!4!
=4∗3∗2=24=4∗3∗2=24
Hence, combining, total number of ways = 6!∗4!=720∗246!∗4!=720∗24
Answers & Comments
ANSWER:
A. There are 5 people to fill the first place, 4 remaining to fill the second, 3 remaining to fill the third, 2 remaining to the fourth place and only 1 remaining to fill the fifth. That means there are 5 factorial (5!) ways. 5! = 5 x 4 x 3 x 2 x 1 = 120
B. Number of ways to arrange 4 females among themselves = 4!4!
=4∗3∗2=24=4∗3∗2=24
Hence, combining, total number of ways = 6!∗4!=720∗246!∗4!=720∗24
ANS =17280