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16 Sep 2014, 00:13
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D
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69% (02:02) correct
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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
A. 56
B. 126
C. 152
D. 196
E. 252
16 Sep 2014, 00:13
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Bookmarks
Official 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
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
19 Jun 2018, 23:21
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honcho11
Hi there, i am relatively new to this group and could you please help me with the basics of this topic (may be with some link), i find this really difficult.
21. Combinatorics/Counting Methods
- Theory
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ALL YOU NEED FOR QUANT ! ! !
Ultimate GMAT Quantitative Megathread
