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?
105
525
945
1050
There are 9 non-zero digits ie 1, 2, 3, 4, 5, 6, 7, 8 or 9 There are 5 vowels and 21 consonants in English alphabet (capitals only) The password starts with a vowel and ends with a consonant. So, the digit will come at the middle. The number of such passwords = 5 × 9 × 21 = 945 Hence, 945 such passwords can be generated.
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