JEE Main 2023 (Online) 1st February Morning ShiftQuestion 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 ______.
Permutation and Combination
Answer$50400$
Solution
Vowels $A,A,A,I,I,O$ form one block arranged in $\frac{6!}{3!2!}=60$ ways; the block with consonants $S^4N^2T$ gives $\frac{8!}{4!2!}=840$ arrangements. Total $50400$.