Gr. 12 Data Management
posted by avm on .
How many arrangements of the word ALGORITHM begin with a vowel and end with a consonant?

there are 3 vowels and 6 consonants.
So there are 3 ways to fill the first spot and 6 ways to fill the last.
The leaves the remaining 7 letters to go anywhere else.
so
3x7x6x5x4x3x2x1x6
= 3(7!)(6) = 90720 
reiny can u answer my other two questions

there are 3 vowels and 6 consonant
arrangements starting with vowel A
=(7*6*5*4*3*2*1)*6
=30240
arrangements starting with vowel O
= 302460
arrangements starting with vowel I
=30240
: . total arrangements =30240+302460+30240
=90720 arrangements