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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? OPTIONS: 96 128 24 72

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?

OPTIONS:
  • 96
  • 128
  • 24
  • 72

Grade:12th Pass

1 Answers

Arun
25768 Points
2 years ago
Dear student
 
Required solution is
(2C1 * 4C2 + 2C2 * 4C1) * 3!
 = (2 * 6 + 1 * 4) *6
 = (16) *6
 = 96 ways
 
Regards
Arun (askIITians forum expert)

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