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Combinatorics

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slvri:

--- Quote from: astarmathsandphysics on October 12, 2009, 11:45:11 am ---my reasong for 6*5*2/3 is this: For the first you have a choice of 6 and for the second a choice of 5. For the tird you can have the first or second colour, hence the factor of 2 and divide by three because the odd colour can be 1st, 2nd, or third.

--- End quote ---
but couldnt the logic also be this: for the first and second sweets you have a choice of 6 and for the third sweets you have a choice of 5 so 6*5=30
im confused...... ???

astarmathsandphysics:
The sweets can be picked in any order and the order doesnt matter. Things get much worse because you can have two sweets the same colour but not three.

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