document.write( "Question 482473: Using the letters in the word MATH, how many 4 letter combinations can you make? \n" ); document.write( "

Algebra.Com's Answer #330292 by Edwin McCravy(20054) $\"\"$ $\"About$

You can put this solution on YOUR website!
Using the letters in the word MATH, how many 4 letter combinations can you make?
\n" ); document.write( "

\r\n" );
document.write( "There are 4 ways to choose the first letter.\r\n" );
document.write( "\r\n" );
document.write( "For each of the 4 ways to choose to choose the 1st letter, there are\r\n" );
document.write( "3 ways left to choose for the second letter. That's 4×3 or 12 ways to\r\n" );
document.write( "choose the first two letters.\r\n" );
document.write( "\r\n" );
document.write( "For each of the 4×3 or 12 ways to choose to choose the first two letters,\r\n" );
document.write( "there are 2 ways left to choose for the third letter. That's 4×3×2 or 24 ways \r\n" );
document.write( "to choose the first three letters.\r\n" );
document.write( "\r\n" );
document.write( "For each of those 4×3×2 ways to choose the first three letters, there is\r\n" );
document.write( "just 1 way to choose the fourth letter. That's 4×3×2×1 or still 24 ways\r\n" );
document.write( "to choose all 4 letters.  Here are all 24 ways:\r\n" );
document.write( "\r\n" );
document.write( " 1. MATH\r\n" );
document.write( " 2. MAHT\r\n" );
document.write( " 3. MTAH\r\n" );
document.write( " 4. MTHA\r\n" );
document.write( " 5. MHAT\r\n" );
document.write( " 6. MHTA\r\n" );
document.write( " 7. AMTH\r\n" );
document.write( " 8. AMHT\r\n" );
document.write( " 9. ATMH\r\n" );
document.write( "10. ATHM\r\n" );
document.write( "11. AHMT\r\n" );
document.write( "12. AHTM\r\n" );
document.write( "13. TMAH\r\n" );
document.write( "14. TMHA\r\n" );
document.write( "15. TAMH\r\n" );
document.write( "16. TAHM\r\n" );
document.write( "17. THMA\r\n" );
document.write( "18. THAM\r\n" );
document.write( "19. HMAT\r\n" );
document.write( "20. HMTA\r\n" );
document.write( "21. HAMT\r\n" );
document.write( "22. HATM\r\n" );
document.write( "23. HTMA\r\n" );
document.write( "24. HTAM\r\n" );
document.write( "\r\n" );
document.write( "Edwin

\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );