How many 3 letter arrangements can be made from the word math?

Answers (5)

I think it can be mat,hat,ham

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Ways to chose 3 letters from 4 is is 4({mat},{mah},{mth},{ath})
Each of these 4 can be arranged in 6 ways
Example {mat}------ mat , mta, atm, amt, tma, tam
Therefore total ways= 4 X 6 = 24

Answer 24

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"math" has 4 different letters.
Let n = 4
an arrangement of a subset consisting of 3 letters out of the set of 4 letters shall be k.

So it is n! (which is the factorial 1*2*3*4 = 24) over (n - k)! which happens to be (4 - 3)! = 1! = 1. So there are 24 different arrangements possible.

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MAT, HAT, HAM, ATM

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Well, it is possible to make 24 different words from 4 letter word "Math".

MAT MAH ATH THM
ATM HMA HTA MHT
TAM MHA HAT MTH
MTA HAM THA TMH
TMA AHM TAH HMT
AMT AMH AHT HTM

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