The  number of ways five alphabets can be chosen from the alphabets  of the word MATHEMATICS ,where the chosen alphabets are not necessarily distinct is equal to

M A T H E I C S - - - - - 
M A T
(I)  All distinet :  ${ }^8{C}_5=56$
(ii) 2 same , 3 different :  ${ }^3{C}_1{:}^7{C}_3=105$
(iii) 2 same , 2same , 1differ  ${ }^3{C}_2{:}^6{C}_1=18$
Total no of solution  = 179