Question

In how many ways can ram choose a vowel and a consonant from the letters of the word allahabad

Answer 1

Answer:

ALLAHABAD has 9 letters.

in that there are 4A’s, 2L’s

Consider all vowels as a single packet.

Now there are 6 packets.

so, total number of ways is 6!/2!

As there are only A’s in the vowel packet, arrangement between them is not considered as it does not bring any new word.

Answer 2

In the ALLAHABAD :-

only 1 vowel available for selection (A).

A is available 4 times .

there are 4 consonants available – L, H, B, D

Then the number of ways of selecting a vowel and a consonant would be 1 × 4C1 = 4.