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consonants = 4
arrange them = 24 ways.
vowels = 3. arrange them = 6 ways.
also 5 spaces in consonants. pick any 3 . 5C3
24*6*10 =1440
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Source: Beat The GMAT — Data Sufficiency |
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Cans!!
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knight247
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The arrangement looks as follows. Where the three vowels can only be fitted in one of the gaps
_P_R_V_T_
Firstly, the 3 vowels can be placed and shuffled in any of the 5 gaps in 5P3=60Ways
The four consonants can be adjusted amongst themselves in 4P4=4!=24 Ways
Total number of ways=24*60=1440 ways Hence D
_P_R_V_T_
Firstly, the 3 vowels can be placed and shuffled in any of the 5 gaps in 5P3=60Ways
The four consonants can be adjusted amongst themselves in 4P4=4!=24 Ways
Total number of ways=24*60=1440 ways Hence D