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Math Help - no. of ways arrange 11 cards

  1. #1
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    no. of ways arrange 11 cards

    A game requires a player to pick some coloured cards which are indistinguishable except for their colour. There are 6 red, 4 blue and 2 yellow cards. Find the number of ways in which only 11 cards are arranged in a line
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  2. #2
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    Re: no. of ways arrange 11 cards

    Figured it out! Seperate into 3 cases whereby each colour is omitted.

    no. of ways=\frac{11!}{5!4!2!}+\frac{11!}{6!3!2!}+\frac{1  1!}{6!4!1!}=13860
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  3. #3
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    Re: no. of ways arrange 11 cards

    Hello, punch!

    Nice reasoning . . . Great work!

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