Permutation Combination Question 18
Question 18 - 01 February - Shift 1
The number of words, with or without meaning, that can be formed using all the letters of the word ASSASSINATION so that the vowels occur together, is _________
Show Answer
Answer: 50400
Solution:
Formula: Permutation under Restriction
Vowels : A,A,A,I,I,O
Consonants : S,S,S,S,N,N,T
$\because$ Total number of ways in which vowels come
together
$=\frac{ 8!}{4! 2!} \times \frac{{6!}}{3! 2!}=50400$
