Ping Pong
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RETRO PING PONG TABLE TENNIS PLAYERS TIN Toy Game $23.45 |
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Tin Toy Wind Up Table Tennis Ping Pong Players $12.67 |
How many ways are there to place 30 tennis balls in 5 boxes …..?
How many ways are there to place 30 tennis balls in 5 boxes (a) ping pong balls are distinguishable and the boxes are distinguishable (ie, ping-pong balls are labeled 1-30 and the pictures are labeled 1 through 5). (B) balls Tennis boxes are identical and are distinguishable.
The first answering machine does not Read Your question properly. Their number 17,100,720 is the answer to a problem vaguely similar, but not the one you requested. In the first case (a) you can do five different options for each box of 30 balls, one after another, so the total number of possibilities is 5 x 5 x 5 x. . . x 5 (30 factors) = digit number 21 9 31 322 57 461 54 785 15 625. The second case (b) is a "partition" problem. The earliest forms of the balls (30, 0, 0, 0, 0), (29, 1, 0, 0, 0), (28, 2, 0, 0, 0), (28, 1, 1, 0, 0), then in three ways, with 27 in the larger picture, then. . . is very difficult. . . numbers get bigger fairly quickly, since the number in the box wider low but then becomes smaller again, ending with (7, 6, 6, 6, 5) and finally (6, 6, 6, 6, 6). I know of a simple formula for the response, but are not interactive mathematical packages that have this function integrated and spit the answer for you.
[mage lang="en|es|en" source="sooper"]Ping Pong[/mage
