Out of 6 consonants and 4 vowels, how many strings of 3 consonants and 2 vowels can be formed ?

Out of 10 consonants and 4 vowels, how many words can be formed each containing 3 consonants and 2 vowels ?

From 8 consonants and 4 vowels, how many words can be made each consisting of 2 consonants and 3 vowels?

The English alphabet has 5 vowels and 21 consonants. How many words with two different vowels and 2 different consonants can be formed from the alphabet?

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 2 vowels and 3 consonants can be formed from the letters of the word DAUGHTER ?

(i) Find the number of strings of length , which can be firmed using the letters of the word BIRD , without repetition of the letters. (ii) How many strings of length 5 cm be formed out of the letters of the word "PRIME" taking all the letters at a time without repetition.

A word of at least 5 letters is made at random from 3 vowels and 3 constants, all the letters being different. The probability that no consonant falls between any two vowels in the word is

Find the number of ways of arranging the letters of the word RAMANUJAN so that the relative positions of vowels and consonants are not changed.