Question

In how many ways can the letters of the

word "BHUTAN" be arranged ?
a. 70
b. 20
O c.
c. 60
d. 40​

Answer 1

Answer: (b)

Explanation:

Given

The letter "BHUTAN" has to be arranged

For filing the first place of 6 letter word, we have 6 choices

Similarly for filling the second place of the word, we have 5 choices as 1 letter is already filled.

In this way, the remaining places can be filled in 4, 3, 2, and 1 way

On combining the above, 6 places can be filled in

`\Rightarrow 6* 5* 4* 3* 2* 1=6!\\\Rightarrow 720\ \text{ways}`

Thus, option (b) is correct.