Quantitative Aptitude MCQ - Permutation And Combinations
3 consonants out of 5 can be selected in 5C3 ways.
2 vowels out of 4 can be selected in 4C2 ways.
Therefore, total number of groups each containing 3 consonants and 2 vowels = 5C3 * 4C2 = 5*6=30
Each group contains 5 letters, which can be arranging in 5! ways.
Therefore required number of words = 30* 5! = 3600
Required number of ways are 45=1024.
Since each prize can be distributed in 4 ways
