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Laura has decided to display 5 of her glass animal figurines on a shelf. If she has 6 circus animals and 5 farm animals from which to choose, and she wants a farm animal in the middle of the display, then how many arrangements of the figurines are possible?
A. 30
B. 150
C. 3,024
D. 25,200
E. 30,240
A. 30
B. 150
C. 3,024
D. 25,200
E. 30,240
24 May 2022, 19:07
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Bunuel
Laura has decided to display 5 of her glass animal figurines on a shelf. If she has 6 circus animals and 5 farm animals from which to choose, and she wants a farm animal in the middle of the display, then how many arrangements of the figurines are possible?
A. 30
B. 150
C. 3,024
D. 25,200
E. 30,240
A. 30
B. 150
C. 3,024
D. 25,200
E. 30,240
A farm animal can be placed at middle in 5 ways
There are 10 remaining animals. 4 places can be filled in 10*9*8*7 = 5040 ways
Total ways to arrange all the animals = 5 * 5040 = 25200
Option D
24 May 2022, 19:28
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Selecting a farm animal(middle animal) = 5c1
Rest 4 animals from 10 animals = 10c4
Total combinations = 5c1 * 10c4 * 4! = 25200
Posted from my mobile device
Rest 4 animals from 10 animals = 10c4
Total combinations = 5c1 * 10c4 * 4! = 25200
Posted from my mobile device
