Find the number of these permutations in which(i) the letters O and R are together, in the word HISTORY
Question
Find the number of these permutations in which(i) the letters O and R are together, in the word HISTORY
Solution
Sure, here are the steps to find the number of permutations in which the letters O and R are together in the word HISTORY:
-
First, consider the letters O and R as a single entity. So, the word HISTORY becomes HISTY(OR). Now, we have 6 entities to arrange, which are H, I, S, T, Y, and (OR).
-
The number of ways to arrange these 6 entities is 6!, which equals 720.
-
However, within the entity (OR), O and R can be arranged in 2! ways, which equals 2.
-
Therefore, the total number of permutations in which O and R are together is 6! * 2! = 720 * 2 = 1440.
Similar Questions
In how many ways can the letters of the word 'ARRANGE' be arranged? How many of these arrangements are in which (1) two R's come togethe
Find the number of permutations of the letters of the word MISSISSIPPI.
In how many ways can the letters of the word PERMUTATIONS be arranged if the words start with P and end with S?
How many pairs of letters are there in the word ‘SEQUENTIAL’ which have as many letters between them in the word as in the alphabet?
Which of the words given in the options can be formed using the letters of the following set only once?{a,w,r,t,I,s,o,n,m,l,b,h,e,p}APeakBMouseCHelpDCoup
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.