The letters of the word 'MULTIPLE' are
arranged in all possible ways. Then The number of arrangements in which the
order of the vowels does not change is
There are 8!/2! ways to arrange the letters.
There are 3! ways to arrange the vowels.
So, ...
So
3360 is final answer????
Am i right or wrong?????
To find the number of arrangements in which the order of the vowels does not change, we need to consider the vowels in the word 'MULTIPLE.'
First, let's identify the vowels in the word 'MULTIPLE': U, I, E.
Since we want the order of the vowels to remain the same, we can treat them as a single unit. So, we essentially have a word with three units: M, L, and the group of vowels (UIE).
To find the number of arrangements, we need to consider the number of permutations possible for each unit and then multiply them together.
First, let's start with the unit of M and L. Since both are consonants, they can be rearranged among themselves. Therefore, the number of arrangements for this unit is 2! = 2.
Next, let's consider the unit of vowels (UIE). Since they need to maintain their order, there is only one arrangement possible.
Multiplying the number of arrangements for each unit together, we have 2 * 1 = 2.
Therefore, the number of arrangements in which the order of the vowels does not change is 2.