• recategorized by
1,007 views
0 0 votes
Show that if any 20 people are selected then we may choose a subset of 3 so that all were born on same day of week

1 Answer

0 0 votes
Straightforward application of pigeon hole principle.
Position:
Show:

Related questions

0 0 votes
1 1 answer
767
767 views
Swarnava Bose asked Jun 3, 2023
767 views
Consider the set of 4 -digit positive integers. How many of them have their digits in :-a) strictly decreasing order ?b) non decreasing order ?c) non increasing order ?
1 1 vote
1 1 answer
1.1k
1.1k views
Acejoy asked Oct 25, 2021
1,071 views
Suppose there are 4 cricket matches to be played in 3 grounds. The number of ways the matches can be assigned to the grounds so that each ground gets at least one match i...
0 0 votes
0 0 answers
437
437 views
soujanyareddy13 asked Sep 27, 2021
437 views
Let $\mathcal{C}$ denote the set of colorings of an $8\times 8$ chessboard, where each square is colored either black or white. Let $\thicksim$ denote the equivalence rel...
0 0 votes
2 2 answers
817
817 views
soujanyareddy13 asked Sep 27, 2021
817 views
What is the number of surjective maps from the set $\{1,\dots,10\}$ to the set $\{1,2\}$?$90$$1022$$98$$1024$