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E: 30/03 win £200 of Amazon vouchers (HELP)
kippo1
Posts: 545 Forumite
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
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
0
Comments
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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.0
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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 = 3528Thanks to all who post :j0 -
I agree with 3528
gav0 -
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 = 35280
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