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19 Jun 2010, 15:48
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C
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Difficulty:
55%
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Question Stats:
59% (01:41) correct
41%
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wrong
based on 198
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From the set of numbers x, y, t, z and w, how many different combinations can we have without the t in them? Ex:. (x,y), (x), (w,z,y,x), etc and (x,y)=(y,x)
A. 10
B. 14
C. 15
D. 16
E. 30
A. 10
B. 14
C. 15
D. 16
E. 30
19 Jun 2010, 15:59
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Gusano97
Could anybody help me with these problem?
From the set of numbers x, y, t, z and w, how many different combinations can we have without the t in them? Ex:. (x,y), (x), (w,z,y,x), etc and (x,y)=(y,x)
A)10
B)14
C)15
D)16
E)30
From the set of numbers x, y, t, z and w, how many different combinations can we have without the t in them? Ex:. (x,y), (x), (w,z,y,x), etc and (x,y)=(y,x)
A)10
B)14
C)15
D)16
E)30
There are 4 letter without t: x, y, z, and w, so:
\(C^1_4+C^2_4+C^3_4+C^4_4=4+6+4+1=15\)
Answer: C.
22 Jun 2010, 15:23
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Another way: Any letter (x, y, z, w) can be included or not. So, we have 2^4 combinations - 1 empty combination = 15 combinations
