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27 Apr 2017, 02:18
Kudos
Bookmarks
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
75% (01:23) correct
25%
(01:40)
wrong
based on 178
sessions
History
Date
Time
Result
Not Attempted Yet
Seven ducks, an adult male, an adult female, and 5 ducklings (one of whom is particularly unattractive), are walking in a straight line from the barn to the pond. The line is led by and ended with an adult duck and the ugly duckling must be in the exact center of the line. How many different ways can this line be formed?
A. 24
B. 48
C. 60
D. 120
E. 240
A. 24
B. 48
C. 60
D. 120
E. 240
27 Apr 2017, 04:29
Kudos
Bookmarks
The two possibilities are when
Male duckling leads the pack and female is in the end with the ugly duckling in the center
M _ _ U _ _ F
and
Female duckling leads the pack and male is in the end with the ugly duckling in the center
F _ _ U _ _ M
We can fill the spots in 4*3*2*1 ways. Hence total ways the line can be formed is 24+24 or 48(Option B)
Male duckling leads the pack and female is in the end with the ugly duckling in the center
M _ _ U _ _ F
and
Female duckling leads the pack and male is in the end with the ugly duckling in the center
F _ _ U _ _ M
We can fill the spots in 4*3*2*1 ways. Hence total ways the line can be formed is 24+24 or 48(Option B)
27 Apr 2017, 06:51
Kudos
Bookmarks
M _ _ U _ _ F
M 1 2 U 3 4 F
M 1 2 U 4 3 F
M 1 3 U 2 4 F
M 1 3 U 4 2 F
M 1 4 U 2 3 F
M 1 4 U 3 2 F
6(total combinations for each number)*4(variables)=24
24*2(Male and Female can both lead)=48
M 1 2 U 3 4 F
M 1 2 U 4 3 F
M 1 3 U 2 4 F
M 1 3 U 4 2 F
M 1 4 U 2 3 F
M 1 4 U 3 2 F
6(total combinations for each number)*4(variables)=24
24*2(Male and Female can both lead)=48
