AP EAMCET · Maths · Permutation Combination
How many words, with or without meaning, each of 2 vowels and 3 consonants can be formed from the letters of the word DAUGHTER?
- A 120
- B 21600
- C 720
- D 3600
Answer & Solution
Correct Answer
(D) 3600
Step-by-step Solution
Detailed explanation
We have the word 'D A U G H T E R' where vowels \(=\mathrm{A}, \mathrm{U}, \mathrm{E}=3_{\mathrm{c}_2}\) consonant \(=\mathrm{D}, \mathrm{G}, \mathrm{H}, \mathrm{T}, \mathrm{R}=5_{\mathrm{c}_3}\) \(\Rightarrow\) There are \(3_{\mathrm{c}_2} \times 5_{\mathrm{c}_3}=30\) ways to…
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