Answer
$31,116,960,000$ passwords.
Work Step by Step
1st consonant: 42 choices.
1st vowel: 10 choices.
2nd consonant: 42 choices.
3rd consonant: 42 choices.
2nd vowel: 10 choices.
4th consonant: 42 choices.
1st number: 10 choices.
2nd number: 10 choices.
Using the Multiplication Rule of Counting (see page 298):
$42\times10\times42\times42\times10\times42\times10\times10=31,116,960,000$
