Maths

a/A class test consists of 4 Algebra questions,W ,X,Y and Z, and 3 Geometry questions,A,B,C and D.The teacher decides that the questions should be arranged in two sections.Algebra followed by Geometry,with questions in each section arranged in a random order Find the number of arrangement in which questions W and B are next to each other. Find the number of arrangements in which questions X and D are separated by more than four other subjects

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asked by Raj
  1. Three postings of the same question where you say "there are 3 geometry questions , A, B, C, and D." That's four!

    Clarify before I answer it

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  2. You are right.It was a typo

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    posted by Raj
  3. So what is the correct version ????

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  4. A class test consists of 4 Algebra questions,W ,X,Y and Z, and 4 Geometry questions,A,B,C and D.The teacher decides that the questions should be arranged in two sections.Algebra followed by Geometry,with questions in each section arranged in a random order Find the number of arrangement in which questions W and B are next to each other. Find the number of arrangements in which questions X and D are separated by more than four other subjects.

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    posted by Raj
  5. W and B are next to each other:
    let's put the there, then we have
    ? ? ? W B ? ? ?
    3*2*1 W B 3*2*1
    number of ways = 3*2*1*1*1*3*2*1 = 36

    number of arrangements in which questions X and D are separated by more than four other subjects:
    We already know that there are 36 cases where a X and D would be in specific places, (see first part, only the names would change)
    case 1 , X is in the 1st position, so we could have
    X ? ? ?|? ? D ? -----> 36 of those
    X ? ? ?|? ? ? D -----> 36 of those
    case 2:, the X is in the 2nd position
    ? X ? ?|? ? ? D -----> 36 of those
    there are no other possibilities, so you
    have 3(36) or 108 such cases.

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