In how many ways can a consonant and a vowel be chosen out of the letters of the word `LOGARITHM`

In how many ways can a consonant and a vowel be chosen out of the letters of the word COURAGE?

in how many ways can a consonant and a vowel can be chosen out of the words of courage.

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?

In how many ways can 4 consonants be chosen from the letters of the word SOMETHING?

In how many ways can we select two vowels and three consonants from the letters of the word ARTICLE?

How many words each of 3 vowels and 2 consonants can be formed from the letters of the word INVOLUTE so that consonants never together?

How many words, each of 2 vowels and 2 consonants can be forward from the letters of the word HEXAGON.

How many words, each of 2 vowels and 2 consonants can be forward from the letters of the word HEXAGON.

How many words, with or without meaning, each of 3 vowels and 2 consonants can be formed from the letters of the word INVOLUTE ?

How many words, with or without meaning, each of 3 vowels and 2 consonants can be formed from the letters of the word INVOLUTE?