i have a problem in permutations
how many word with or without meaning can be formed from the letters of the word TRIANGLE so that
i) order of vowels remains the same
ii)relative positions of vowels and consonants doesnt change..
i have tried the first part as follows
***** I *****A*****E*****
here * denotes the positions taht can be occupied by 5 consonants
we have 20 positions avlbl for 5 consonants
so they can be arranged in 20P5 ways..
is this method correct ??
plz help me
in the second part
we have to keep the relative position of vowels and consonant unchanged
i have tried it as follows
C C V V C C C V
five consonants can be arranged in 5! ways
three consonants can be arranged in 3! ways
so the total no. of ways =5!*3!= 120*6 = 720