Advertisements
Advertisements
Question
The number of ways to arrange the letters of the word “CHEESE”:
Options
120
240
720
6
Solution
120
Explanation:
Here there are 6 letters.
The letter C occurs one time
The letter H occurs one time
The letter E occurs three times
The letter S occurs one time
Number of arrangements = `(6!)/(1! 1! 3! 1!) = (6!)/(3!)`
`= (6xx5xx4xx3!)/(3!)` = 120
APPEARS IN
RELATED QUESTIONS
Is 3! + 4! = 7!?
In how many ways can the letters of the word ASSASSINATION be arranged so that all the S’s are together?
In how many ways can 4 letters be posted in 5 letter boxes?
Write the total number of possible outcomes in a throw of 3 dice in which at least one of the dice shows an even number.
Write the number of all possible words that can be formed using the letters of the word 'MATHEMATICS'.
In a room there are 12 bulbs of the same wattage, each having a separate switch. The number of ways to light the room with different amounts of illumination is
How many strings are there using the letters of the word INTERMEDIATE, if the vowels and consonants are alternative
How many strings are there using the letters of the word INTERMEDIATE, if all the vowels are together
The number of different words that can be formed from the letters of the word INTERMEDIATE such that two vowels never come together is ______.
In the permutations of n things, r taken together, the number of permutations in which m particular things occur together is `""^(n - m)"P"_(r - m) xx ""^r"P"_m`.
