in WONKCUL, such that

[sanju09]

How many words, with or without meanings, can be constructed using all the letters in WONKCUL, such that there are exactly 3 letters between the 2 vowels?
(A) 5!
(B) 5! × 2!
(C) 6!
(D) 6! × 2!
(E) 6! × 3!

[kvcpk]

Fix 2 places for vowels and then fill the consonants.

So Consonants can be fille din 5! ways.
Vowels can be arranged in 2! ways.

Hence B.

[sanju09]

Fix 2 places for vowels and then fill the consonants.

So Consonants can be fille din 5! ways.
Vowels can be arranged in 2! ways.

Hence B.

make sure all conditions were met

[kvcpk]

Fix 2 places for vowels and then fill the consonants.

So Consonants can be fille din 5! ways.
Vowels can be arranged in 2! ways.

Hence B.

make sure all conditions were met

My bad!! Answer should be 6!
there are three possible places for the vowels.
So 3*2!*5! = 6!

Right this time?

[diebeatsthegmat]

How many words, with or without meanings, can be constructed using all the letters in WONKCUL, such that there are exactly 3 letters between the 2 vowels?
(A) 5!
(B) 5! × 2!
(C) 6!
(D) 6! × 2!
(E) 6! × 3!

there are 5! possible ways for letters cos there are 5 letters in the words
there are 3! possible ways for vowels
O---U-- ( 0 is in the first place)
if O is in the second place _O---U-
if O in the third place --O---U
we did the same with U ( just opposite it)
so there are 3!=1*2*3=6 possible ways for those place
thus total we have 6!
answer should be C