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GMAT Diagnostic Test Question 39
Field: combinationsDifficulty: 650
Romi has a collection of 10 distinct books out of which 8 are small and 2 are large. In how many ways can he select 5 books to take with him on a trip if he can take at most 1 large book?
A. 56
B. 126
C. 152
D. 196
E. 252
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26 Nov 2013, 14:04
Kudos
Bookmarks
Could you update the question on this page to match the question in the downloadable PDF(8 small, 2 large). It took me a while to figure out that the solutions on this page don't match the question at the top of the page(7 small books, 3 large).
26 Nov 2013, 14:12
Kudos
Bookmarks
UPDATED.
SOLUTION:
Romi has a collection of 10 distinct books out of which 8 are small and 2 are large. In how many ways can he select 5 books to take with him on a trip if he can take at most 1 large book?
A. 56
B. 126
C. 152
D. 196
E. 252
Since Romi can take at most 1 large book then he can take with him either 5 small books or 4 small books and 1 large book: \(C^5_8+C^4_8*C^1_2=56+140=196\).
Answer: D.
SOLUTION:
Romi has a collection of 10 distinct books out of which 8 are small and 2 are large. In how many ways can he select 5 books to take with him on a trip if he can take at most 1 large book?
A. 56
B. 126
C. 152
D. 196
E. 252
Since Romi can take at most 1 large book then he can take with him either 5 small books or 4 small books and 1 large book: \(C^5_8+C^4_8*C^1_2=56+140=196\).
Answer: D.
