Find the number of premutations of the word suggest
Answers
Assuming that what you are looking for is the number of permutations of 3 letters from the word MATH, because a permutation is an arrangement of ‘entities’ in which the order matters (ATH and HAT are different entries) whereas , in a combination order is of no consequence (ATH and HAT are the same entry).
So, you have 4 letters to choose from: M A T H, but only 3 spaces in which to place them: _ _ _ . If you pick a letter for the first slot, that means you have 4 choices, and then when you go to pick a letter for the second slot, you have 3 choices, and then for the final slot you’ll have 2 choices remaining, and, using the formula for permutations, 4 x 3 x 2 = 24. Therefore, there are 24 ways of PICKING 3 letters form the word MATH and these are:
MAT MTA MAH MHA MTH MHT ATH AHT AMT ATM AHM AMH TAM TMA TAH THA TMH THM HMA HAM HAT HTA HTM HMT
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