Answer: Here we'll use Permutations, nPr,
where n = total number of letters,
r = total number of letters you are picking, in your case, you are picking all the letters so it would be, nPn,
Step-by-step explanation:
"Vector" has 6 letters so 6P6 = 720
"Trust" has 5 letters so 5P5 = 120
"Caravan" has 7 letters so 7P7 = 5040
"Closeness" has 9 letters so 9P9 = 362880
"Mathematical" has 12 letters so 12P12 = 479001600
