Four digit numbers formed with 1, 2, 4, 6, and 8 without repetition are formed in ascending order and ranked. Then the rank of 4618 is
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a
61
b
62
c
65
d
72
answer is B.
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Detailed Solution
Ascending order of given digits : 12468To find rank of 4618, out of four digit numbers without repetion in ascending orderThe number of four digit numbers starting with 1 = P3 4 '' '' 2 = P3 4 '' '' 41 = P2 3 '' '' 42 = P2 3First number starting with 46 is 4612, and the next number is 4618.Rank of 4618 = 2×4P3 + 2×3P2 + 1 + 1 = 62