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Olympiad workbook
Exam
Olympiad workbook
Subject
IOQM
Chapter
Permutation and Combination

Olympiad workbook · IOQM · Permutation and Combination

The number of four-digit odd numbers having digits 1,2,3,4 , each...

The number of four-digit odd numbers having digits 1,2,3,41,2,3,4, each occurring exactly once, is:

Correct answer

12

Step-by-step solution

abcda b c d ∴abcd\therefore \quad a b c d is odd number therefore dd can take values as 1 or 3⇒23 \Rightarrow 2 posibility and aa can take 3 value bb can take 2 value cc can take 1 value Total values =2×3×2×1=2 \times 3 \times 2 \times 1 ⇒12\Rightarrow 12 numbers
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