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04 Mar 2015, 04:15
Kudos
Bookmarks
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
83% (01:46) correct
17%
(02:11)
wrong
based on 218
sessions
History
Date
Time
Result
Not Attempted Yet
A newly-wed couple is using a website to design an eBook Wedding Album to distribute to their friends and families. The template they have chosen has places for 3 large photos and 19 smaller photos. The couple has 6 large photos they could use for those three slots, and 21 smaller photos they could use for those 19 slots. Given these choices, how many different possible albums could they create?
A. 3,150
B. 4,200
C. 5,040
D. 20,520
E. 84,000
Kudos for a correct solution.
A. 3,150
B. 4,200
C. 5,040
D. 20,520
E. 84,000
Kudos for a correct solution.
04 Mar 2015, 18:50
Kudos
Bookmarks
Bunuel
Answer B, 4200 possible albums.
For the larger photo they have 6C3 options, which is 20 and for the smaller photo they have 21C19 options, which is 210. 210*20=4200.
07 Mar 2015, 09:50
Kudos
Bookmarks
A similar solution:
For the big album they have to choose 3 out of their 6 photos, and leave out 3:
6! / 3!3! = 20
For the small album they have to choose 19 out of their 21 photos and leave out 2:
21! / 19!2! = 210
All combinations together: 210*20 = 4200, ANS B
For the big album they have to choose 3 out of their 6 photos, and leave out 3:
6! / 3!3! = 20
For the small album they have to choose 19 out of their 21 photos and leave out 2:
21! / 19!2! = 210
All combinations together: 210*20 = 4200, ANS B
