AP EAMCET · Maths · Permutation Combination
All possible words (with or without meaning) are formed by taking atleast 2 letters (all different) from the letters of the word 'CURVE'. If a word is chosen at random from all the words thus formed, then the probability of getting a 3 letter word is
- A \(\frac{1}{16}\)
- B \(\frac{3}{8}\)
- C \(\frac{1}{4}\)
- D \(\frac{3}{16}\)
Answer & Solution
Correct Answer
(D) \(\frac{3}{16}\)
Step-by-step Solution
Detailed explanation
Total words = \(P(5,2) + P(5,3) + P(5,4) + P(5,5) = (5 \times 4) + (5 \times 4 \times 3) + (5 \times 4 \times 3 \times 2) + (5 \times 4 \times 3 \times 2 \times 1)\) Total words = \(20 + 60 + 120 + 120 = 320\) 3-letter words = \(P(5,3) = 5 \times 4 \times 3 = 60\) Probability =…
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