JEE Main 2012 Mathematics question

MathematicsPermutations and CombinationsJEE Main 2012

The number of arrangements that can be formed from the letters a, b, c, d, e, f taken 3 at a time without repetition and each arrangement containing at least one vowel, is

Answer: (1)

Solution

Total arrangements ; those with no vowel (only b, c, d, f): . At least one vowel: 120 − 24 = 96, option (1).

Question ID VK-103598