Advertisements
Advertisements
प्रश्न
Find the number of ways letters of the word HISTORY can be arranged if Y and T are together.
उत्तर
There are 7 letters in the word HISTORY
When ‘Y’ and ‘T’ are together.
Let us consider ‘Y’ and ‘T’ as one unit
This unit with the other 5 letters is to be arranged.
∴ The number of arrangements of one unit and 5 letters = 6P6 = 6!
Also, ‘Y’ and ‘T’ can be arranged among themselves in 2P2 i.e., 2! ways.
∴ Total number of arrangements when Y and T are always together = 6! × 2! = 720 × 2 = 1440
∴ 1440 words can be formed if Y and T are together.
APPEARS IN
संबंधित प्रश्न
Determine the number of arrangements of letters of the word ALGORITHM if vowels are always 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 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 of arranging letters of the word MATHEMATICAL. How many of these arrangements have all vowels together?
Determine the number of arrangements of letters of the word ALGORITHM if vowels are always together
Determine the number of arrangements of letters of the word ALGORITHM if consonants are at even positions.
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 so that letters of the word HISTORY can be arranged as Y and T are together
Find the number of ways so that letters of the word HISTORY can be arranged as there is no restriction
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 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 are no restrictions
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
3 boys and 3 girls are to sit in a row. How many ways can this be done if boys and girls are at alternate places
3 boys and 3 girls are to sit in a row. How many ways can this be done if all boys sit together
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 ______.
