Question

How many permutations can be made byusing all the letters of the word'MATHEMAGICA' ?(1) (11)! (2) (420)(8!)(3) 11!2!2! (4) (660)7!​

Answer 1

660 × 7!

Step-by-step explanation:

total number of letters in the word = 11

number of times the letter M repeats = 2

number of times the letter A repeats = 3

apart from these two letters no other letters repeats as the possible permutations would be,

n!/(a! × b! ...)

or, permutation = 11!/(2! × 3!)

or, permutation = 660 × 7!