In how many ways can a vowel, a consonant and a digit be chosen out of the 26 letters of the English alphabet and the 10 digits?

Answer

1050

Explanation

There are 5 vowels, 21 consonants and 10 digits.
Number of ways of choosing 1 vowel out of 5 vowels = 5.
Number of ways of choosing 1 consonant out of 21 consonants = 21.
Number of ways of choosing 1 digit out of 10 digits = 10.
Required number of ways `=(5xx21xx10)=1050.`