Advertisements
Advertisements
प्रश्न
Find the number of arrangements of the letters in the word BERMUDA so that consonants and vowels are in the same relative positions.
Advertisements
उत्तर
There are 7 letters in the word “BERMUDA” out of which 3 are vowels and 4 are consonants.
If relative positions of consonants and vowels are not changed.
3 vowels can be arranged among themselves in 3P3 i.e., 3! ways.
4 consonants can be arranged among themselves in 4P4 i.e., 4! ways.
∴ Total no. of arrangements possible if relative positions of vowels and consonants are not changed = 4! × 3! = 24 × 6 = 144
APPEARS IN
संबंधित प्रश्न
How many three-digit numbers can be formed from the digits 0, 1, 3, 5, 6 if repetitions of digits are not allowed?
Determine the number of arrangements of letters of the word ALGORITHM if no two vowels are together.
In a group photograph, 6 teachers are in the first row and 18 students are in the second row. There are 12 boys and 6 girls among the students. If the middle position is reserved for the principal and if no two girls are together, find the number of arrangements.
Find the number of ways letters of the word HISTORY can be arranged if Y and T are together.
How many numbers can be formed using the digits 0, 1, 2, 3, 4, 5 without repetition so that the resulting numbers are between 100 and 1000?
Find the number of 6-digit numbers using the digits 3, 4, 5, 6, 7, 8 without repetition. How many of these numbers are not divisible by 5?
A code word is formed by two distinct English letters followed by two non-zero distinct digits. Find the number of such code words.
Find the number of ways of arranging letters of the word MATHEMATICAL. How many of these arrangements have all vowels together?
How many 4 letter words can be formed using letters in the word MADHURI if letters can be repeated
Determine the number of arrangements of letters of the word ALGORITHM if no two vowels are together.
Find the number of ways so that letters of the word HISTORY can be arranged as Y is next to T
Find the number of arrangements of the letters in the word SOLAPUR so that consonants and vowels are placed alternately
How many numbers can be formed using the digits 0, 1, 2, 3, 4, 5 without repetition so that resulting numbers are between 100 and 1000?
Find the number of 6-digit numbers using the digits 3, 4, 5, 6, 7, 8 without repetition. How many of these numbers are divisible by 5
Find the number of 6-digit numbers using the digits 3, 4, 5, 6, 7, 8 without repetition. How many of these numbers are not divisible by 5
Find the number of ways in which 5 letters can be posted in 3 post boxes if any number of letters can be posted in a post box.
In how many ways can 5 different books be arranged on a shelf if 2 books are always together
3 boys and 3 girls are to sit in a row. How many ways can this be done if there is a girl at each end
All the words that can be formed using alphabets A, H, L, U and R are written as in a dictionary (no alphabet is repeated). Rank of the word RAHUL is ______.
