A Game of cards with Mr. 11 ...

Satvik and Krishna are playing a game of cards. Both of them are holding one card in hand chosen from the deck . It's given that the number on Krishna's card is strictly greater than the number on Satvik's card.

The number of ways in which this can happen is \(K\).

Find the remainder when \(K\) is divided by \(11\) .


Details and assumptions:-

\(1.\quad\) A deck of card has 52 cards, which are divided into 4 suits (Hearts \(\color{Red}{❤}\),Diamonds \(\color{Red}{♦}\) ,Club \(\clubsuit\) ,Spade \(\spadesuit\)). Each suit has 13 cards, which are {Ace,2,3,4,5,6,7,8,9,10,Jack,Queen,King}.

\(2.\quad\) In this question, consider that the numbers assigned to cards are \(\text{Ace=1,Jack=11,Queen=12,King=13}\) and others are numbered as they are already.


This problem is a part of the set 11≡ awesome (mod remainders)

×

Problem Loading...

Note Loading...

Set Loading...