Question: this is discrete math combination and permutation could you please answer those question . In how many ways can 12 people be divided in two

this is discrete math combination and permutation could you please answer those question

this is discrete math combination and permutation could you please answer those

. In how many ways can 12 people be divided in two teams of 6 for a game of hockey ? If there are two brothers among the 12 people, in how many ways can we divide the 12 people in two teams such that the brothers are on the same team ? . How many permutations of the lettters (1,6, c, d, e, f, g are there ? How many such permu- tations do not contain the pattern abc (as consecutive letters) '2' How many permutations do not contain the patterns abc nor def ? How many permutations do not contain the patterns abc nor cde ? . A coin is tossed 12 times. How many different sequences of heads and tails are possible ? In how many of these sequences are 4 heads ? In how many of these sequences are 4 tails ? In how many of these sequences we get at least 4 tails ? . An urn contains 7 red balls and 7 blue balls. A sample of 4 balls is extracted. HOW many different samples are possible ? How many samples contain exactly one red ball ? How many samples contain at least one red ball ? How many samples contain 2 red balls

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