How many words can be arranged taking 4 at a time from the letters of the word MATHEMATICS?

• in the word MATHEMATICS, there are:- 2M, 2A, 2T, 1H, 1E, 1I, 1C, 1S
  total no. of letters=11
  hence, no. of required words formed=(11p4)/2!*2!*2!*1!*1!*1!*1!*1!
• 12 years agoHelpfull: Yes(2) No(0)
• solution:-
  in the word MATHEMATICS,M occurs twice T occurs twice and A occurs twice.
  therefore number of ways of arranging these letters=10p4/(2!*2!*2)
  = 18900..so it can be arranged in 18900 ways
  
• 12 years agoHelpfull: Yes(1) No(2)
• 10c4/(2!*2!)
• 12 years agoHelpfull: Yes(0) No(2)
• 10p4/(2!*2!*2!)
• 12 years agoHelpfull: Yes(0) No(1)