Question

The number of arrangements that can be formed by all the letters of the word
"LAUGHTER" is
a) 20160
b) 5040
c) 32768
d) 40320​

Answer 1

ONLY 6

LAUGHTER =6

thank you

Answer 2

Question :- The number of arrangements that can be formed by all the letters of the word

"LAUGHTER" is

a) 20160

b) 5040

c) 32768

d) 40320

Answer :-

→ Total number of words in "LAUGHTER" = 8

so,

→ Total Number of Permutation of 8 Letters = (8)P(8)

→ Total = (8!) / (8 - 8)!

→ Total = (8!) / (0!)

→ Total = (8!) / 1

→ Total = 8!

→ Total = 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1

→ Total = 40320 (Ans.)

Therefore, Total number of arrangements formed is Option D.