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01 Jul 2022, 18:15
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A
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Difficulty:
25%
(medium)
Question Stats:
74% (01:15) correct
26%
(01:35)
wrong
based on 160
sessions
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Not Attempted Yet
How many strings of 6 letters can be made using only the letters A, B, and C, or only the letters D, E, and F ?
A. 2×3^6
B. 3×2^6
C. 3×3^6
D. 2×2^6
E. 6^6
A. 2×3^6
B. 3×2^6
C. 3×3^6
D. 2×2^6
E. 6^6
01 Jul 2022, 20:45
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Bunuel
If we use only ABC, we have 3 options for the first letter, 3 options for the second, 3 options for the third... = 3^6.
If we use only DEF, we have 3 options for the first letter, 3 options for the second, 3 options for the third... = 3^6.
We need to do one or the other of those, so we can add them. 2*3^6.
Answer choice A.
13 Jul 2022, 11:10
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Multiplication principle
You don’t need to consider n > k.
You don’t need to consider n > k.
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