Arrange Letters



Type a word:








Exercises for students
Solve the following problems on paper and check your working using the above application:

Find the number of arrangements of all 7 letters of the word MINIMUM
(a) if there are no restrictions
(b) if the 3 letters M must be next to each other
(c) if the 3 letters M must all be separate from each other

Find the number of arrangements of all 8 letters of the word NEEDLESS
(a) if there are no restrictions
(b) if the 3 letters E must be next to each other
(c) if the 3 letters E must all be separate from each other

Find the number of arrangements of all 11 letters of the word MISSISSIPPI in which
(a) the 4 letters I are next to each other
(b) the 4 letters I are all separate from each other

Find the number of arrangements of 3 apples and 4 pears in a row
(a) if there are no restrictions
(b) if all the apples must be next to each other

Find the number of arrangements of 3 red balls, 2 green balls and 2 white balls in a row
(a) if there are no restrictions
(b) if all the red balls must all separate from each other

Find the number of arrangements of all 10 letters of the word STATISTICS in which
(a) the letters T are next to each other
(b) the letters T are not next to each other