Question

the number of words that can be made by rearranging the letters of the word APURNA so that vowel and consonant appear alternate is
​

Answer 1

Answer:

summary is below the coffee mug with me and my family members of the universe is my LAST WORD

Answer 2

Answer:

36,

We divide the problem into 2 cases

(1) Starting with a vowed and ending with a consonants.

(2) Starting with a consonants and ending with a vowel.

Case (1): The three vowels A,A,U can be arranged in 3 ways

(A−A−U,A−U−A,U−A−A)

Now the three consonants can be placed in 6 different ways 3×6 ways.

Case (2): as in the above case there will be 18 ways in which this can be done

( just swap the places of the words generated above alternatly).

Therefore there are 18+18 i.e., 36 ways.