Question:
The possible number of arrangements starting with K of the word KALINGA is
The possible number of arrangements starting with K of the word KALINGA is
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Fix positions first, then apply permutations with repetition.
Updated On: Apr 30, 2026
- \(300\)
- \(330\)
- \(360\)
- \(390\)
- \(370\)
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The Correct Option is C
Solution and Explanation
Concept:
Use permutations of letters with repetition.
Step 1: Count total letters. Word: K A L I N G A → 7 letters Frequency: \[ A = 2, \text{others distinct} \]
Step 2: Fix first letter. First letter is fixed as K. Remaining letters: \[ A, A, L, I, N, G \] Total = 6 letters
Step 3: Apply permutation formula. \[ \frac{6!}{2!} \]
Step 4: Compute. \[ 6! = 720 \] \[ \frac{720}{2} = 360 \]
Step 1: Count total letters. Word: K A L I N G A → 7 letters Frequency: \[ A = 2, \text{others distinct} \]
Step 2: Fix first letter. First letter is fixed as K. Remaining letters: \[ A, A, L, I, N, G \] Total = 6 letters
Step 3: Apply permutation formula. \[ \frac{6!}{2!} \]
Step 4: Compute. \[ 6! = 720 \] \[ \frac{720}{2} = 360 \]
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