find the number of ways in which 4 different letters of the word MATHEMATICS can be arranged.

total number of  letters in word " MATHEMATICS"  is 11.
number of different letters = 8 [MATHEICS]
number of ways of choosing 4 letters out of 8 = C48
the number of ways of arranging 4 letters = 4!
therefore total number of ways in which 4 different letters of the word "MATHEMATICS" can be arranged
=C48*4!=8*7*6*54!*4!=56*30=1680

​hope this helps you

  • 3
What are you looking for?