SOLUTION: (1)Write the steps to get the next permutation of 3, 5, 6, 1, 4, 2 . (2).How many permutations of the digits 01234567 contain the 2 consecutive digits 07? (3).There are 5 red

Question 923763: (1)Write the steps to get the next permutation of 3, 5, 6, 1, 4, 2 .
(2).How many permutations of the digits 01234567 contain the 2 consecutive digits
07?
(3).There are 5 red balls, 5 blue balls and 5 yellow balls in a box. How many balls must
be get out of the box to assure that there are at least 3 different color balls?
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
(1) This question makes no sense.
(2) Treat 07 as a single digit. Now we have seven digits (123456 and 07) to arrange, and 2! = 2 ways to permute {0,7}. Ans = 2*7!.
(3) Worst case is if we pick 5 red balls then 5 blue balls (or 10 balls of only two colors). The next ball is guaranteed to be of the third color, so 11 balls are needed.
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