Question

Is it true that if $n = 2^k$ for some integer $k\geq 1,$ then $\binom{n}{\frac{n}{2}}$ is an even number?

score 87 · Answer 1 · 2018-03-08 11:14:37

87

Views

Is it true that if $n = 2^k$ for some integer $k\geq 1,$ then $\binom{n}{\frac{n}{2}}$ is an even number?

Published on 08 Mar 2018 - 11:14

score 73 · Answer 2 · 2018-03-08 18:21:55

73

Views

How many $4$ digit numbers can be created from $0$, $3$, $4$, $6$, $7$, $9$ under the following conditions?

Published on 08 Mar 2018 - 18:21

score 327 · Answer 3 · 2018-03-10 11:22:46

327

Views

Combinatorics : Circular Permutation of N people with N-1 spots

Published on 10 Mar 2018 - 11:22

score 1.7k · Answer 4 · 2018-03-10 21:47:30

1.7k

Views

In how many ways can you put two people in $5$ seats in a row if they cannot sit together?

Published on 10 Mar 2018 - 21:47

score 1.4k · Answer 5 · 2018-03-10 21:49:21

1.4k

Views

How many $4$ digit numbers have a digit sum of $11$?

Published on 10 Mar 2018 - 21:49

score 564 · Answer 6 · 2018-03-10 23:24:34

564

Views

Calculating the probability of being dealt a straight in the Phase 10 card game

Published on 10 Mar 2018 - 23:24

score 1.5k · Answer 7 · 2018-03-11 00:08:11

1.5k

Views

Phase 10 probabilities

Published on 11 Mar 2018 - 0:08

score 54 · Answer 8 · 2018-03-11 15:52:44

54

Views

How does probability rate increase in this situation?

Published on 11 Mar 2018 - 15:52

score 919 · Answer 9 · 2018-03-11 17:17:22

919

Views

No. of ways 9 prizes can be given to 5 students with a condition

Published on 11 Mar 2018 - 17:17

score 49 · Answer 10 · 2018-03-11 19:04:49

49

Views

Combination from arbitrary number of type of items

Published on 11 Mar 2018 - 19:04

score 482 · Answer 11 · 2018-03-11 19:56:22

482

Views

The number of ways in which 5 different books can be given to 10 people with a condition

Published on 11 Mar 2018 - 19:56

score 6.9k · Answer 12 · 2018-03-12 10:30:31

6.9k

Views

The number of ways in which 10 identical apples can be distributed to six children so that each child receives at least one apple

Published on 12 Mar 2018 - 10:30

score 323 · Answer 13 · 2018-03-12 21:08:42

323

Views

How many combinations of couples sitting on a roundtable?

Published on 12 Mar 2018 - 21:08

score 138 · Answer 14 · 2018-03-12 22:03:22

138

Views

How many combinations of $n$ balls of up to $n$ different colors are there?

Published on 12 Mar 2018 - 22:03

score 928 · Answer 15 · 2018-03-13 00:43:05

928

Views

How many sets of numbers can we find?

Published on 13 Mar 2018 - 0:43

List Question

Is it true that if $n = 2^k$ for some integer $k\geq 1,$ then $\binom{n}{\frac{n}{2}}$ is an even number?

How many $4$ digit numbers can be created from $0$, $3$, $4$, $6$, $7$, $9$ under the following conditions?

Combinatorics : Circular Permutation of N people with N-1 spots

In how many ways can you put two people in $5$ seats in a row if they cannot sit together?

How many $4$ digit numbers have a digit sum of $11$?

Calculating the probability of being dealt a straight in the Phase 10 card game

Phase 10 probabilities

How does probability rate increase in this situation?

No. of ways 9 prizes can be given to 5 students with a condition

Combination from arbitrary number of type of items

The number of ways in which 5 different books can be given to 10 people with a condition

The number of ways in which 10 identical apples can be distributed to six children so that each child receives at least one apple

How many combinations of couples sitting on a roundtable?

How many combinations of $n$ balls of up to $n$ different colors are there?

How many sets of numbers can we find?

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