Permutations of the word ENGLAND such that permutations start and end with a vowel

Question

How many words can be made by using the letters of the word ENGLAND such that words begin and end with a vowel?

I couldn't understand how come the answer to this question is $120$.

Answer 1

$7$ letters.

$1)$ $2$ vowels, so $2$ choices.

$2)$ $5$ consonants, so $5$ choices here.

$3)$ $4$ consonants left, so $4$ choices here.

$4)$ $3$ consonants left, so $3$ choices here.

$5)$ $2$ consonants left, so $2$ choices here.

$6)$ $1$ consonant left, so only $1$ choice here.

$7)$ $1$ vowel left, so $1$ choice here.

$$2*5*4*3*2*1*1=240$$

Divide by $2!$, because there are two $N$'s.

$$\frac{240}{2!}=120$$