Question
Download Solution PDFIn what number of ways can the letters of the word 'ABLE' be arranged so that the vowels occupy even places?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Number of ways to arrange n things in r places is given by, nCr
Calculation:
In word ABLE, there are 2 vowels and 2 consonants.
Total number of letters = 4
Total number of even place = 2
There are 2 vowels to be filled in 2 places.
Hence, the number of ways = 2C2 = 1
The vowels can arrange among themselves in 2! = 2 ways.
Now, the 2 consonants can fill the remaining 2 places in 2! = 2 ways.
Therefore, total number of ways = 1 × 2 × 2 = 4 ways.
Hence, option (2) is correct.
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