NDA2022MathematicsPermutation and CombinationActual
Paragraph: Consider the word 'QUESTION' : Question: How many 8 -letter words with or without meaning, can be formed such that consonants and vowels occupy alternate positions?
Options
- A288
- B576
- C1152
- D2304
Correct answer
C. 1152
Step-by-step solution
C V C V C V/CV or VC VC VC VC Number of 8 letter words such that vowels and consonants occupy alternate positions. =2 4!4!=2 24 24=1152