We want to choose 5 letters without replacement from 15 distinct letters

Answer 1

are you asking how many ways to do this ??

if so, use n!/r!(n-r)! where n=15 and r=5

15!/5!(10)!=

(15*14*13*12*11)/(5*4*3*2*1)=

simplify....

7*13*3*11=

3003