Question

How many arrangemnets of the letters of the word ORIENTAL can be made so that the words starts and ends with N or L​

Answer 1

Step-by-step explanation:

hope this helps you

have a nice day ahead

Answer 2

Step-by-step explanation:

The word ORIENTAL has four vowels (O, I, E and A) and four consonants (R, N, T and L).

Since, it is an eight-letter word - so, there will be four odd places and four even places.

As per condition, vowels are to occupy the odd places always. Now, there are four vowels for four odd places; so, no odd place will remain empty. Therefore, four even places are to accommodate four consonants.

Four vowels in four odd places can be placed in (4!) = 24 arrangements.

For each such ‘vowel - odd place’ arrangement; the four consonant in four even places can be placed in (4!) = 24 arrangements.

So, total (24*24) = 576 words can be formed.