Advertisements
Advertisements
प्रश्न
Find the number of ways letters of the word HISTORY can be arranged if Y is next to T.
Advertisements
उत्तर
There are 7 letters in the word HISTORY
When ‘Y’ is next to ‘T’
Let us take this (‘Y’ next to ‘T’) as one unit.
This unit with 5 other letters is to be arranged.
∴ The number of arrangements of 6 letters and one unit = 6P6 = 6!
Also ‘Y’ has to be always next to ‘T’.
So they can be arranged in 1 way.
∴ Total number of arrangements possible when Y is next to T = 6! ×1 = 720
∴ 720 words can be formed if Y is next to T.
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 allowed?
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.
Determine the number of arrangements of letters of the word ALGORITHM if O is the first and T is the last letter.
Find the number of ways letters of the word HISTORY can be arranged if Y and T are together.
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.
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.
Determine the number of arrangements of letters of the word ALGORITHM if O is the first and T is the last letter
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 begin and end with vowel
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
In how many ways can 5 different books be arranged on a shelf if 2 books are never together
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 ______.
