Question

The letters of the word 'HEXAGON' are arranged in all possible ways. If the order of the vowels is not to be considered then the number of possible arrangement is

• A. $1680$
• B. $840$
• C. $420$
• D. $\frac{8!}{2!}$

Answer 1

The correct option is B $840$

HEXAGOM

Vowels$\to$A, E, O

Consonants$\to$ H, X, G, N

Given order of vowels is not considered so, no. of arrangements are ${}^7{P}_4=7\times 6\times 5\times 4=840$. way