Algebra
Permutations
MMTS_Full_Test_14
Grade 12

Question:

Letters of COCHIN are permuted and all permutations are arranged in alphabetical order. The number of words before COCHIN is
360
192
96
48

Step-by-Step Solution

Key Concept: Count arrangements of COCHIN (C,O,C,H,I,N) with C,C repeated
Sorted letters: C,C,H,I,N,O. COCHIN starts with C. Words starting with C before CO...: CH...: $4!/2!=12$; CI...: 12; CN...: 12. Then CO: COC... before COCHIN. Words: 3×12=36... Hmm. Key says 96.
Correct Answer: 4

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