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macjas
Joined: 09 May 2012
Last visit: 30 Jul 2015
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Schools: Rotman '15 (A) Schulich '15 (M)
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27 May 2012, 09:08
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
81% (01:00) correct
19%
(01:34)
wrong
based on 223
sessions
History
Date
Time
Result
Not Attempted Yet
A city council will select 2 of 9 available firefighters and 1 of 6 available police officers to serve on an advisory panel. How many different groups of 3 could serve on the panel?
A. 36
B. 72
C. 144
D. 216
E. 432
A. 36
B. 72
C. 144
D. 216
E. 432
28 May 2012, 02:04
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macjas
A city council will select 2 of 9 available firefighters and 1 of 6 available police officers to serve on an advisory panel. How many different groups of 3 could serve on the panel?
A. 36
B. 72
C. 144
D. 216
E. 432
A. 36
B. 72
C. 144
D. 216
E. 432
Ways to select 2 firefighters out of 9 is \(C^2_9=36\);
Ways to select 1 police officer out of 6 is \(C^1_6=6\);
Total ways to select 2 firefighters out of 9 and 1 police officer out of 6 is 36*6=216.
It's called Principle of Multiplication: if one event can occur in m ways and a second can occur independently of the first in n ways, then the two events can occur in m*n ways.
Answer: D.
General Discussion
27 May 2012, 23:39
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OA D
9C2 * 6C1
using the combination formula to choose 2 from 9 and 1 from 6
9C2 * 6C1
using the combination formula to choose 2 from 9 and 1 from 6
