timmyg
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« Reply #30 on: Friday, October 24, 2014, 12:04:29 » |
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Not sure my answer to 18 of 168 is correct. I used npr calculation of 7 and 3 less 7and 2. 7 numbers, only 3 numbers can be used at the start (1,2,2), only 2 numbers cannot be used at the end (1,3)
Surely if it has to be an even number then it can only end in 2 or 6? And as you say it can only start with 1 or 2. So 1,xxx,xx2, 1,xxx,xx6, 2,xxx,xx2 and 2,xxx,xx6 are the only ones that can work, right? SO then it's just a case of how many permeatations of each can there be with the five numbers in between. 120 in each one? so 480 in all? It's been a long time since I did maths at school! edit: actually, because there are two 5s and two 2s then that doesn't work as you'll be doubling up some of the numbers... 480 minus 25 odd should sort it... my head hurts.
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« Last Edit: Friday, October 24, 2014, 12:10:34 by timmyg »
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london_red
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« Reply #31 on: Friday, October 24, 2014, 12:13:21 » |
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Surely if it has to be an even number then it can only end in 2 or 6? And as you say it can only start with 1 or 2.
So 1,xxx,xx2, 1,xxx,xx6, 2,xxx,xx2 and 2,xxx,xx6 are the only ones that can work, right? SO then it's just a case of how many permeatations of each can there be with the five numbers in between. 120 in each one? so 480 in all?
It's been a long time since I did maths at school!
edit: actually, because there are two 5s and two 2s then that doesn't work as you'll be doubling up some of the numbers... 480 minus 25 odd should sort it... my head hurts.
But then half that for the two fives, and the one starting 1 ending 6 also has two twos so I'd make it 210
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Samdy Gray
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« Reply #32 on: Friday, October 24, 2014, 12:16:28 » |
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I got as far as 7! = 5040, then 5040 x (3/7) = 2160 and then gave up.
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timmyg
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« Reply #33 on: Friday, October 24, 2014, 12:21:42 » |
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280 I reckon, now.
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never trust a nun...
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4D
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« Reply #34 on: Friday, October 24, 2014, 12:25:09 » |
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Surely if it has to be an even number then it can only end in 2 or 6? And as you say it can only start with 1 or 2.
So 1,xxx,xx2, 1,xxx,xx6, 2,xxx,xx2 and 2,xxx,xx6 are the only ones that can work, right? SO then it's just a case of how many permeatations of each can there be with the five numbers in between. 120 in each one? so 480 in all?
It's been a long time since I did maths at school!
edit: actually, because there are two 5s and two 2s then that doesn't work as you'll be doubling up some of the numbers... 480 minus 25 odd should sort it... my head hurts.
Oh, bollocks misread the numbers. I'll try again
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4D
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« Reply #35 on: Friday, October 24, 2014, 12:37:00 » |
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The answer is 420
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Simon Pieman
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« Reply #36 on: Friday, October 24, 2014, 13:11:17 » |
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I get 210 for q18.
60 combinations if 2 is first and 6 is last 60 combinations if 6 is first and 2 is last 60 combinations if 2 is first and 2 is last 30 combinations if 1 is first and 6 is last
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4D
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« Reply #37 on: Friday, October 24, 2014, 13:52:01 » |
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Correct Si, I needed to divide my result by 2. Coincidentally the npr for 7 to 3 is 210.
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Bob's Orange
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« Reply #38 on: Friday, October 24, 2014, 14:39:04 » |
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1. Which disgraced former Cabinet Minister was immortalized in an artwork this week? Chris Huhne, in a vase by Grayson Perry 2. Which footballer was accused by his manager of carrying some extra weight? Adel Taarabt 3. In Indian cuisine, what name, derived from a Persian word meaning ‘fried’, is given to a dish of basmati rice mixed with meat, often topped with a thin omelette and served with a separate vegetable curry? Biryani 4. Name the series. Howards’ Way
5. Which city and its surrounding area was the last English possession in France? It was taken back by France in the 16th century. Calais 6. Who is the only Beatle to have been individually nominated for an Oscar? Paul McCartney 7. In which panel game were blindfolded guests invited to identify a sportsperson by touch alone? They Think It’s All Over 8. What is Goldfinger’s reply when Bond, who is about to be cut in half by a laser beam, asks him ‘Do you expect me to talk?’ ‘(No Mr Bond), I expect you to die!’ 9. What is represented here? A rose between two thorns. (Tracey Thorne, Axl Rose, Willie Thorne) 10. What kind of animal are these? Bats 11. Which three US states have names beginning with two consonants? Florida, Rhode Island & Wyoming 12. What Lebanese staple is traditionally made of bulgur wheat, tomatoes, parsley, mint and onion plus seasoning? Tabbouleh 13. Who is this? Renee Zellweger 14. Which marsupial, native to the south-eastern part of Australia and Tasmania, is the largest burrowing herbivorous mammal? Wombat 15. Which word of German origin is used for a fissure or narrow channel on the Moon’s surface? Rille 16. Which Kentish town gives its name to a species of warbler? Dartford 17. Who are the only father and son combo to have both topped the UK singles chart with solo releases? Julio & Enrique Iglesias
18. Using the following digits: 1, 2, 2, 3, 5, 5 and 6, how many 7-digit EVEN numbers less than 3,000,000 can you form ? 210 If the digit: 1 is first and 2 is last, there are 60 ways to form a 7 digit even number less than 3,000,000. 1 is first and 6 is last, there are 30 ways to form a 7 digit even number less than 3,000,000. 2 is first and 6 is last, there are 60 ways to form a 7 digit even number less than 3,000,000. 2 is first and 2 is last, there are 60 ways to form a 7 digit even number less than 3,000,000. So, adding up all the different combinations that can be formed we get: 60+30+60+60 = 210. In total, 210 ways. 19. What links these pictures: Gilbert & Sullivan operettas (Patience; HMS Pinafore; Trial by Jury; Yeomen of the Guard; The Gondoliers)
20. Unscramble the two 2 connected words : A E E I N S S T U U V V ETNA & VESUVIUS
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Reg Smeeton
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« Reply #39 on: Friday, October 24, 2014, 16:49:11 » |
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Another impressive show by the TEF quiz clique Didn't get Huhne though.....not really surprising, as there's so many disgraced politicians to pick from.
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