you know thats mean
*farts*
For first
9/10 = 0 R9
8/9 = 0 R8
if you are use intgers
For another
first the total number of games is that can be played is (3*2*1)^3 (the number of ways to order the cards times itself by the number of players). 6^3 =216
Second, round one 3*2*1 because one played can play any color and the second two, a last only one. round two, 2*2*1, two play can any color in their hand because no matter what play one play, one of the others doesn't have and thus can play either. third round1*1*1, every players has one card.
1*4*6 =24
24/216 = .1111111
I think thats right
The card problem can also be explained like this:
round 1: player 1 randomely picks a card, now player 2 has a 2/3 chance left not to turn over the same colour. After player 2 turns over different colour, player 3 has only a 1/3 chance not to turn over a colour that has either been played by player 1 or 2.
So for the first round, that's a probability of 1/3*2/3 = 2/9
round 2: Each player has 2 cards. PLayer 1 randomely picks a card. PLayer 2 or player 3 doesn't have the colour that player 1 turns over, so for one of these players the chance of not playing the same card is 1/1. For the other player, this chance is 1/2.
So for the second round that's a probability of 1/1*1/2 = 1/2
round 3. Each player has one card left, probability 1/1.
so, for the 3 rounds that's a probability: (2/9)*(1/2)*(1/1) = 1/9 = 0.1111...
I don't really get your problem, because Ruah allready told you the answer:P
If you want to find the smallest number "X" with a certain remainder "R", when divised by a number "D", then this smallest number is allways "R" itself,
because the remainder itself is 0*D + "R"
Take an example.. smallest number "X" with a remainder 5, when divised by 7
is ofcourse 5, because it's 0*7 + 5.
I might not fully understand your problem, because it's really just this simple;P
#1 is pretty easy...just make each number congruent to 1 + each mod, then subtract one away from each...and you end with 2519
geez why