One non zero digit one vowel and one consonant from English alphabet in capital are to be used in fo...........

Math and Mental Ability Permutation & Combination

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?

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Complete-Test, Previous year (2022)

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105

525

945

1050

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Explanation:

One non-zero digit = 1, 2, 3, 4, 5, 6, 7, 8 or 9, i.e. 9 possible values.
There are 5 vowels and 21 consonants in English alphabet.
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.