q27

[Saumyojit]

I did this like this : First select three Cap consonants --> 21 c3
Then select 5 small Consonants : 21c5
Select 4 vowel out of 5 : 5c4

21c3 * 3c1 * 21c5 * 5c3 * 5c4 *4c2 *5! = ....no of ways

 

[Dr.Peterson]

First question: Are you ignoring the fact that the letters must come from the given set? You aren't choosing that set from the entire alphabet; it is provided to you.

Second question: Does it say or imply that the letters in the word must be distinct? I think that's what they intend, and you took it that way, but it could be taken otherwise.

Third question: Does order matter in a word? You seem to be ignoring it.

 

[Saumyojit]

done
3c1 * 5c3 *4c2 *5!

 

[Dr.Peterson]

done
3c1 * 5c3 *4c2 *5!

Please explain your reasoning in detail.