Question 939958
<pre>

TRIANGLE
has
consonants T,R,N,G,L
vowels I,A,E

We can choose three consonants in C(5,3) ways.
We can choose two vowels in C(3,2) ways.
We can permute the 5 letters in 5! ways:

C(5,3)*C(3,2)*5! = 10*3*120 = 3600

Edwin</pre>