AP EAMCET · Maths · Permutation Combination
If four letters are chosen from the letters of the word ASSIGNMENT and are arranged in all possible ways to form 4 letter words (with or without meaning), then total number of such words that can be formed is
- A 1680
- B 2184
- C 2196
- D 2190
Answer & Solution
Correct Answer
(D) 2190
Step-by-step Solution
Detailed explanation
Letters: A(1), S(2), I(1), G(1), N(2), M(1), E(1), T(1). Case 1: All 4 distinct letters. \( P(8,4) = 8 \times 7 \times 6 \times 5 = 1680 \) Case 2: Two identical, two distinct letters. Identical pair: S or N (2 choices). Choose 2 distinct from remaining 7 unique letters:…
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