Question

How many distinct permutations can be formed using the letters of the word ​
"MATHEMATICS"?

Answer 1

There are 11 letters in MATHEMATICS.

These 11 letters can be permuted in 11 positions.

But, some letters are repeating - M (2 times), A (2 times), T (2 times)

So this is how we will do it:

`^(11)P_(11) = (11!)/(2! 2! 2!)`

= 39916800 / 8

= 4989600

Answer: 4989600 distinct permutations can be formed using the letters of the word MATHEMATICS.