Choices and Distinct Permutations: Example Questions

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  Number of distinct permutations = Answer: 840 c) RECURSION Solution: There are 2 R's, 1 E, 1 C, 1 U, 1 S, 1 I, 1 O and 1 N. Number of distinct permutations = Answer: 181440 6.

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  But if you write down all 9 permutations ... 2. how many positive integers less than 1,000 are a) divisible by 7, b) are divisible by both 7 and 11 c) have distinct digits 3. how many bit strings of length 10 contain either five consecutive 0s

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  Answer: since there are 6 lettters and we choose 3 with order, the number of permutations is P(6,3)=120 The solution gives detailed steps for solving questions on enumeration, combination and permutation.

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  And these permutations are all distinct .

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  The solution discusses permutations and provides steps necessary to find the maximum number of distinct arrangements.

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  Thus person P(2) has 364 choices for his/her birthday, then person P(3) has 363 choices for his/her birthday, and so it goes,(if we are to maintain distinct birthdays).