One non-zero digit, one vowel and one consonant from English alphabet (in capital) are to be used in forming passwords, such that each password has to start with a vowel and end with a consonant. How many such passwords can be generated?

Key setup: Password uses exactly 3 characters: one non-zero digit, one vowel, and one consonant, all used once. It must start with a vowel and end with a consonant, so the middle place must be the digit.

• Vowel choices: 5 capital vowels (A, E, I, O, U). Verdict: 5 choices.
• Consonant choices: 21 capital consonants. Verdict: 21 choices.
• Digit choices: Non-zero digits are 1 to 9. Verdict: 9 choices.

Total passwords = 5 × 9 × 21 = 945.

• (a) 105: Too small; ignores one category/count. Incorrect.
• (b) 525: Does not match full multiplication. Incorrect.
• (c) 945: Matches 5 × 9 × 21. Correct.
• (d) 1050: Exceeds the valid count under the position restriction. Incorrect.