find in how many ways can two admirals, three generals and 4 lieutenants can be seated in a row of nine seats if the admirals must sit at ea

Question

find in how many ways can two admirals, three generals and 4 lieutenants can be seated in a row of nine seats if the admirals must sit at each end?
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Dâu 5 years 2021-07-25T01:44:37+00:00 1 Answers 209 views 1

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  1. Amity
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    2021-07-25T01:45:51+00:00
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    Answer:

    They can be seated in 10,080 ways.

    Step-by-step explanation:

    Arrangements of n elements:

    The number of possible arrangements of n elements is given by:

    A_n = n!

    In this question:

    In each end, the two admirals, so 2 possible outcomes.

    In the middle seats, arrangements of 7 elements(3 generals, 4 lieutenants). So

    2A_{7} = 2*7! = 10080

    They can be seated in 10,080 ways.

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