Question

Determine the number of 6 digit positive integers such that at least one pair of consecutive digits differs by an odd number.

score 50 · Answer 1 · 2019-04-01 02:12:27

50

Views

Determine the number of 6 digit positive integers such that at least one pair of consecutive digits differs by an odd number.

Published on 01 Apr 2019 - 2:12

score 92 · Answer 2 · 2019-04-02 21:43:23

92

Views

Combinatorics Inclusion-Exclusion

Published on 02 Apr 2019 - 21:43

score 56 · Answer 3 · 2019-04-03 05:00:19

56

Views

Asymptotics for the sums from the inclusion-exclusion principle

Published on 03 Apr 2019 - 5:00

score 1.1k · Answer 4 · 2019-04-04 00:11:44

1.1k

Views

Find the probability of rolling ten different, standard 6-sided dice simultaneously and obtaining a sum of 30?

Published on 04 Apr 2019 - 0:11

score 73 · Answer 5 · 2019-04-10 08:45:14

73

Views

Sum of a finite series

Published on 10 Apr 2019 - 8:45

score 93 · Answer 6 · 2019-04-11 12:32:43

93

Views

Combinatorics- dividing animals

Published on 11 Apr 2019 - 12:32

score 84 · Answer 7 · 2019-04-11 12:54:00

Let $n\ge3$ be an integer. How many permutations $f : [n]\to [n]$ are in which $f(i)\neq i$ for each $i\in \{2,3,...,n\}$ and $f(1)=1$, $f(2)=3$?

score 72 · Answer 8 · 2019-04-12 23:33:18

72

Views

Combinatorics and composite functions

Published on 12 Apr 2019 - 23:33

score 65 · Answer 9 · 2019-04-13 16:16:47

65

Views

How do use inclusion-exclusion to find the probability of encountering all n outcomes in m tries

Published on 13 Apr 2019 - 16:16

score 28 · Answer 10 · 2026-02-23 06:39:40

28

Views

Probability of having picked every item from the set at least once after n turns, while picking 3 per turn

Published on 23 Feb 2026 - 6:39

score 752 · Answer 11 · 2019-04-20 20:43:30

752

Views

What is the number of one-to-one functions f from the set {1, 2, . . . , n} to the set {1, 2, . . . , 2n − 1} so that f(x) $\neq$ 2x − 1 for all x?

Published on 20 Apr 2019 - 20:43

score 86 · Answer 12 · 2019-04-20 23:27:26

86

Views

Is this the correct solution to find a number of one-to-one functions?

Published on 20 Apr 2019 - 23:27

score 135 · Answer 13 · 2026-03-25 14:20:16

135

Views

Reasoning about remainders and the Möbius function

Published on 25 Mar 2026 - 14:20

score 308 · Answer 14 · 2026-03-25 23:36:08

308

Views

Computing how many distinct digital products are below $10^n$

Published on 25 Mar 2026 - 23:36

score 59 · Answer 15 · 2019-04-24 08:59:37

59

Views

Calculate cardinality of a set

Published on 24 Apr 2019 - 8:59

List Question

Determine the number of 6 digit positive integers such that at least one pair of consecutive digits differs by an odd number.

Combinatorics Inclusion-Exclusion

Asymptotics for the sums from the inclusion-exclusion principle

Find the probability of rolling ten different, standard 6-sided dice simultaneously and obtaining a sum of 30?

Sum of a finite series

Combinatorics- dividing animals

Let $n\ge3$ be an integer. How many permutations $f : [n]\to [n]$ are in which $f(i)\neq i$ for each $i\in \{2,3,...,n\}$ and $f(1)=1$, $f(2)=3$?

Combinatorics and composite functions

How do use inclusion-exclusion to find the probability of encountering all n outcomes in m tries

Probability of having picked every item from the set at least once after n turns, while picking 3 per turn

What is the number of one-to-one functions f from the set {1, 2, . . . , n} to the set {1, 2, . . . , 2n − 1} so that f(x) $\neq$ 2x − 1 for all x?

Is this the correct solution to find a number of one-to-one functions?

Reasoning about remainders and the Möbius function

Computing how many distinct digital products are below $10^n$

Calculate cardinality of a set

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