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Titlebook: Combinatorial techniques; Sharad S. Sane Book 2013 Hindustan Book Agency (India) 2013

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樓主: AMUSE
41#
發(fā)表于 2025-3-28 17:08:18 | 只看該作者
DoktorB Barbara Flügge,Vinod Jadhavt one girl (else he cannot be married off). The list of girls suitable for at least one of the two boys must have at least two girls (else there would be a tie and only one of the two boys can get married). In general, given any subset of . boys, the list of all the girls suitable to at least one of
42#
發(fā)表于 2025-3-28 19:07:10 | 只看該作者
43#
發(fā)表于 2025-3-29 01:34:04 | 只看該作者
The inclusion-exclusion principle,of 2, 33 that are multiples of 3 and 20 that are multiples of 5. This certainly amounts to over-counting as there are integers that are divisible by two of the given three numbers 2, 3 and 5. In fact, the number of integers divisible by both 2 and 3 is 16, the number of integers divisible by both 2
44#
發(fā)表于 2025-3-29 05:49:20 | 只看該作者
Random variables,nterested in “how many chocolates” than the question of probabilities of heads and tails. Note that the emphasis is now shifting from the sample space Ω to something else. Consider one more example. This time, we toss an unbiased coin 20 times, where . pays . Rs. 4 if heads appear and . pays . Rs. 2
45#
發(fā)表于 2025-3-29 10:06:20 | 只看該作者
Pigeonhole principle,verage bridge player, who loves the game of bridge, is hardly aware that this fact is a consequence of the Pigeonhole principle. In some sense, the Pigeonhole principle is intuitively too obvious and too commonsense (perhaps like the game of bridge) to be given the status of a principle. In its most
46#
發(fā)表于 2025-3-29 14:10:27 | 只看該作者
47#
發(fā)表于 2025-3-29 16:16:48 | 只看該作者
48#
發(fā)表于 2025-3-29 22:16:28 | 只看該作者
Permutations,tailed study of permutations. For a positive integer ., let . = . ? . represent a permutation on [.] = {1, 2,…, .}. This simply means . takes . to . for every .. For a better combinatorial insight of a permutation the two line or one line representation is not very useful. We therefore need a differ
49#
發(fā)表于 2025-3-30 02:59:00 | 只看該作者
50#
發(fā)表于 2025-3-30 05:01:58 | 只看該作者
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