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C
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:
82% (01:14) correct
18%
(01:19)
wrong
based on 170
sessions
History
Date
Time
Result
Not Attempted Yet
Mrs. Pearson has 4 boys and 5 girls in her class. She is to choose 2 boys and 2 girls to serve on her grading committee. If one girl and one boy leave before she can make a selection, then how many unique committees can result from the information above?
A. 9
B. 12
C. 18
D. 22
E. 120
A. 9
B. 12
C. 18
D. 22
E. 120
1 girl and 1 boy leave so you are left with 3 boys and 4 girls:
- Number of unique combinations of 2 out of 3 boys = 3C2 = \( \frac{ 3!}{2! } \) \(= 3\)
- Number of unique combinations of 2 out of 4 girls = 4C2 = \( \frac{ 4!}{(2!*2!) } \) \( = 6\)
Total options = girl combo x boy combo = \(3 * 6 = 18\)
IMO: C
- Number of unique combinations of 2 out of 3 boys = 3C2 = \( \frac{ 3!}{2! } \) \(= 3\)
- Number of unique combinations of 2 out of 4 girls = 4C2 = \( \frac{ 4!}{(2!*2!) } \) \( = 6\)
Total options = girl combo x boy combo = \(3 * 6 = 18\)
IMO: C
