Table of Contents
- 1 How many words can be formed by 3 vowels and 6 consonants taken from 5 vowels and 10 consonant?
- 2 How many words can be formed with 3 consonants and 2 vowels so that no two consonants remain together?
- 3 How many words of 4 consonants and 3 vowels can be made from 12 consonants and vowels if all the letters are different?
- 4 How many words of 3 consonants and 2 vowels can be formed?
- 5 How many vowels are there in the word mathematics?
How many words can be formed by 3 vowels and 6 consonants taken from 5 vowels and 10 consonant?
Required number of ways = (210 x 120) = 25200.
How many words can be formed with 3 consonants and 2 vowels so that no two consonants remain together?
Number of groups, each having 3 consonants and 2 vowels = 210. Each group contains 5 letters. = 5! = 120.
How many words can be formed by two vowels and 3 consonants out of 4 vowels and 7 consonants?
how many words of 3 consonant and 2 vowels can be formed? Total words=120*210=25200.
How many words consisting of four consonants and 3 vowels can be formed out of 6 consonants and 4 vowels?
Answer: (2) 756000 = 6C4 x 5C3 x 7!
How many words of 4 consonants and 3 vowels can be made from 12 consonants and vowels if all the letters are different?
= 12C4 *4C3 Each group contains 7 letters, which can be arranging in 7! ways. Therefore required number of words, = 12C4 *4C3 *7!
How many words of 3 consonants and 2 vowels can be formed?
>> Out of 7 Consonants and 4 v… Out of 7 Consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed? = (7−3)!3!7! × (4−2)!2!4! Number of groups, each having 3 consonants and 2 vowels =210. Each group contains 5 letters. Number of ways of arranging 5 letters among themselves = 5!
How many vowels are in a group of 210 letters?
It means we can have 210 groups where each group contains total 5 letters (3 consonants and 2 vowels). 2. In a group of 6 boys and 4 girls, four children are to be selected.
How many ways can you put 3 vowels in 4p3?
There are 8 letters in the word daughter of which 3 are vowels and 5 are consonants. Again, there are 4 odd places viz 1st, 3rd,5th & 7th and 4 even places viz. 2nd, 4th, 6th & 8th. Now, in 4 odd places 3 vowels can be put in 4P3 = 24 ways.
How many vowels are there in the word mathematics?
The word ‘MATHEMATICS’ has 11 letters. It has the vowels ‘A’,’E’,’A’,’I’ in it and these 4 vowels must always come together. Hence these 4 vowels can be grouped and considered as a single letter.