Q. A total number of wards which can be formed out the letters $a,\ b,\ c,\ d,\ e,\ f$ taken 3 together such that each word contains at least one vowel, is
A) 72
B) 48
C) 96
D) None of these
Explanation
(c)
The required number of ways
${= (}^{2}C_{1} \times {\ ^{4}C}_{2} +^{2}C_{2} \times {\ ^{4}C}_{1}) \times 3!$
$= (2 \times 6 + 1 \times 4)6 = 96$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.