How many ways can you extract the consonants from the word MATHS to form new
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In the word MATHEMATICS ,we will consider all the vowels AEAI together as one letter
Thus we have mathematics AEAI
Now we have to arrange 8 letters
out of the M Occurs a twice
and T occur twice
Number of ways of arranging these letters
=8!/((2!))((2!))= 10080
Now AEAI has 4 letters in which A occurs 2 times and the rest are different
Number of ways of arranging these. letters
=4!/2!=12
heres the answer
hope it helps
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