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Arrangements of a word with repeated letters so that two given letters are not together

This type of question, asked 2 times: May 2021 S1, 11 May 2023 S2. All 2 questions below, oldest first.

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  1. Question 1

    May 2021 S1

    124
    The number of ways of arranging letters of the word 'HAVANA', so that V and N do not appear together, is

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  2. Question 2

    11 May 2023 S2

    101
    The number of arrangements, of the letters of the word MANAMA in which two M's do not appear adjacent, is

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