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11 Sep 2021, 03:43
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B
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58% (02:20) correct
42%
(02:22)
wrong
based on 422
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Not Attempted Yet
A unique code is assigned to all test takers of the GNAT exam on a specific day in a centre. On 12 Jan 2021, there were 32 test takers with the codes. The codes are either 2-letter codes or 3-letter codes in the alphabetical order. How many letters will the centre need at a minimum to give all the test takers a unique code?
A. 5
B. 6
C. 7
D. 8
E. 9
A. 5
B. 6
C. 7
D. 8
E. 9
12 Sep 2021, 03:37
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Kushchokhani
Let the number of alphabets be n, and since we are looking at alphabetical order, each combination will just give one way.
So, we are looking at ways to choose 2 or 3 alphabets out of n.
\(nC2+nC3\geq 32\)
Use options to ease calculations.
1) 5:
\(5C2+5C3\geq 32………..10+10\geq 32\)…..NO
2) 6:
\(6C2+6C3\geq 32………..15+20\geq 32\)…..YES
B
General Discussion
rvgmat12
Joined: 19 Oct 2014
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12 Sep 2021, 08:51
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nC2+nC3 >= 32
5 - 10+10 = 20
6 works - 15+20 = 35 >= 32
B
5 - 10+10 = 20
6 works - 15+20 = 35 >= 32
B
