What is the number of ways in which the letters of the word 'ABLE' can be arranged so that the vowels occupy even places?

Step-by-step solution

2nd and 4th place are even place, so vowel ' A ' and ' E ' arrange either 2 nd or 4 th place in 2!=2 1=2 ways Consonent letter, ' B ' and ' L ' arrange at 1 st and 3rd place in 2!=2 1=2 ways. Total number of arrangement =2 2=4 .