TREATISE:
. Quantum
Nodal Theory
ROMALDKIRK:
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ESSAYS: COSMOLOGY
. Infinity
. Universe
. Dark Matter
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. Free Will
. Representation
. Conditionals
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. Practising
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Quiz of the Month (August 2006)
Hector C. Parr
SOLUTION TO LAST MONTH'S QUIZ
1. 10 cm Notes.
Area of tape on take-up spool is proportional to time elapsed.
Initial area on supply spool = PI*(82 - 22) = 60 PI
So 1 minute corresponds to PI cm2
1. PI*(y2 - 22) = 21 PI
So y = 5
2. Area on take-up spool = 55 PI
So area on supply spool = 5 PI (etc.)
3. x = 4.
So area on supply spool = PI*(42 - 22) = 12 PI
So area on take-up spool = 48 PI (etc.)
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THIS MONTH'S QUIZEach of four marbles is to be placed in one or other of two boxes. Find the number of distinguishable distributions if: 1. all the marbles are different, and the boxes are different; 2. all the marbles are identical, but the boxes are different; 3. all the marbles are different, but the boxes are identical; 4. all the marbles are identical, and the boxes are identical. |