Q. The number of different words that can be formed from the letters of the word ‘PENCIL’ so that no two vowels are together, is
A) 120
B) 260
C) 240
D) 480
Explanation
(d)
Given word is ‘PENCIL’.
Total alphabets in the given word=6
Number of vowels=2 and number of consonants=4
$\because$4 consonants can be arranged in $4!$ ways.
$\therefore$ Remaining two places can be filled by two vowels in $\ ^{5}P_{2}$ ways.
$\therefore$ Total number of ways${4! \times}^{5}P_{2} = 24 \times 20 = 480$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.