Useless Posted January 15, 2021 Share Posted January 15, 2021 The 5 letters in the list G, H, I, J, K are to be rearranged so that G is the 3rd letter in the list and H is not next to G. How many such rearrangements are there? I thought that "is not next to G" means that H does not go after G. But according to the official explanation, it means H goes neither after G nor before G Quote Link to comment Share on other sites More sharing options...
plzletmein Posted January 15, 2021 Share Posted January 15, 2021 I think if they wanted to specify H coming immediately after G, they would have said 'immediately after' or 'immediately to the right' rather than 'next to'. It's also not that interesting of a problem if they fix 2 of the letters, since then the problem reduces to 'how many ways can we arrange I, J, K'. Solution (which you probably don't need): You have 2 possible positions for H (start and end) and 1 possible position for G. For I, J, K they have 3! possible arrangements among the last 3 spots. My guess is that the answer is 2 * 3! = 12. Quote Link to comment Share on other sites More sharing options...
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