E: 30/03 win £200 of Amazon vouchers (HELP)

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kippo1
kippo1 Posts: 526 Forumite
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A job for One-Eye me thinks.

Solve the brainbuster and win £200 of Amazon vouchers to spend on high-tech.

A high-tech company has 17 engineers: nine graduates and eight experienced developers.

For a large new project, they want to put together a project team comprising six experienced developers and five graduates.

How many different possible teams are there?

Show your workings. Only complete entry forms will be considered. The judge's decision is final.

The competition closes on Sunday 30th March 2014.

http://www.ecmselection.co.uk/brainbuster/2014/1/ecm-brainbuster-nodot-36-team-building

Comments

  • jeddentad
    jeddentad Posts: 518 Forumite
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    just to note that the form requires you to submit your CV and that this is a high tech recruitment firm.
  • goodnightmoon
    goodnightmoon Posts: 66 Forumite
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    I submitted it without a CV and there is an option to say you are not looking for work.
    FWIW i made the answer 3528 combinations but it's been a long time since I've used Maths for anything complex so it will need checking.

    combinations experienced developers
    8! / (8-6)!x6!

    (8x7x6x5x4x3x2x1) / (2x1)x (6x5x4x3x2x1)

    40320/2x720
    40320/1440

    28

    combinations graduates
    9!/(9-5)!x5!

    (9x8x7x6x5x4x3x2x1) / (4x3x2x1)x (5x4x3x2x1)

    362880 /24 X 120
    362880 / 2880
    126

    Total combinations

    28 * 126 = 3528
    Thanks to all who post :j
  • gavrc
    gavrc Posts: 8,226 Forumite
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    I agree with 3528

    gav
  • One-Eye
    One-Eye Posts: 66,485 Forumite
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    5 from 9 multiplied by 6 from 8 (combinations without repetition) or 9C5 x 8C6

    (9! x 8!) / (5! x 4! x 6! x 2!)

    1.2.3.4.5.6.7.8.9.1.2.3.4.5.6.7.8 / 1.2.3.4.5.1.2.3.4.1.2.3.4.5.6.2.1

    [STRIKE]1.2.3.4.5[/STRIKE].6.7.8.9.1.2.3.4.5.6.7.8 / [STRIKE]1.2.3.4.5[/STRIKE].1.2.3.4.1.2.3.4.5.6.2.1

    6.7.8.9.[STRIKE]1.2.3.4.5.6[/STRIKE].7.8 / 1.2.3.4.[STRIKE]1.2.3.4.5.6[/STRIKE].2.1

    [STRIKE]6.[/STRIKE]7.8.9.7.8 / 1.[STRIKE]2.3[/STRIKE].4.2.1

    7.[STRIKE]8.[/STRIKE]9.7.8 / 1.[STRIKE]4.2[/STRIKE].1

    = 7x9x7x8 = 3528
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