Advertisements
Advertisements
Question
The number of ways to arrange the letters of the word “CHEESE”:
Options
120
240
720
6
Advertisements
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
How many 3-digit even numbers can be made using the digits 1, 2, 3, 4, 6, 7, if no digit is repeated?
Find x in each of the following:
Find x in each of the following:
Find x in each of the following:
In how many ways can 5 different balls be distributed among three boxes?
Write the number of ways in which 5 boys and 3 girls can be seated in a row so that each girl is between 2 boys ?
The number of permutations of n different things taking r at a time when 3 particular things are to be included is
How many numbers lesser than 1000 can be formed using the digits 5, 6, 7, 8, and 9 if no digit is repeated?
A coin is tossed 8 times, how many different sequences of heads and tails are possible?
How many strings are there using the letters of the word INTERMEDIATE, if the vowels and consonants are alternative
