The number of four-digit odd numbers having digits 1, 2, 3, 4, each occurring exactly once, is:
Hint 1: Start by analyzing the initial conditions and setting up the basic equations. => abcd is odd number therefore can take values as 1 or 3 => 2 posibility and.
Hint 2: Look for algebraic properties, symmetry, or geometric theorems to simplify. a can take 3 value.
Hint 3: Proceed with the final algebraic steps to solve the system. b can take 2 value.
Step 1: => abcd is odd number therefore can take values as 1 or 3 => 2 posibility and
Step 2: a can take 3 value
Step 3: b can take 2 value
Step 4: c can take 1 value
Step 5: Total values = 2 × 3 × 2 × 1
Step 6: => 12 numbers
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