AP EAMCET · Maths · Permutation Combination
The number of words which can be made out of the letters of the word 'MOBILE' when consonants occupy odd places is
- A \(20\)
- B \(36\)
- C \(30\)
- D \(720\)
Answer & Solution
Correct Answer
(B) \(36\)
Step-by-step Solution
Detailed explanation
There are 3 vowels and 3 consonants \(\therefore\) Number of ways to fill and arrange odd places with consonants \(={ }^3 C_3 \cdot 3\) ! and number of ways to fill remaining 3 places \(=3\) ! \(\therefore\) The number of words \(={ }^3 C_3 \cdot 3 ! \cdot 3 !=36\)
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