How many different ways can the letters in the word "micro" be arranged if it always has to start with a vowel?

-- The first letter can be either one of 2 letters ('i' or 'o'). For each of those ... -- The second letter can be any one of the remaining 4 . For each of those ... -- The third letter can be any one of the remaining 3 . For each of those ... -- The fourth letter can be any one of the remaining 2 . For each of those ... -- There's only 1 letter left to go into the fifth place.
Total possible arrangements = (2 x 4 x 3 x 2 x 1) = 48 possibilities .

Answered by AL2006 | 2024-06-24

there are two vowels in the word 'micro' i and o so there are 2 possibilities for the first letter slot.
there are 5 slots total and the first slot has been taken so there are 4 options for the second slot 3 options in the 3rd slot 2 options in the 4th slot and 1 option in the 5th slot
so 2 4 3 2 1=48 possibilities

Answered by apologiabiology | 2024-06-24

The total number of different arrangements of the letters in the word 'micro' that start with a vowel is 48. This is calculated by selecting one of the two vowels, then arranging the remaining four letters. We first have 2 options for the first letter and then arrange the remaining letters in 24 different ways, giving us a final total of 48.
;

Answered by apologiabiology | 2024-10-09