# How many diamonds are there on playing cards in a 52 card pack?

96 views
How many diamonds are there on playing cards in a 52 card pack?
posted Jan 26, 2018

13 cards will have diamonds on it out of 52
According to standard 52-deck card :
Every card of diamond(or any) suit should have 4 diamonds(or heart or club or spade respectively)
With that every card from A till 10 will have same number of diamonds(or it's suit symbol) extra associated as the value number of that card,
I.e A should have 4+1 diamonds,
2 should have 4+2 diamonds,
3 should have 4+3 diamonds and so on till 10.
J,K,Q will have 4+2 diamonds each.
So, total diamonds = 4×13 + (1+2+3+....+10) + 2×3
= 52 + (10×11)/2 + 6
= 52+55+6
= 113

Similar Puzzles
+1 vote

In a pack of playing cards , I have to draw any 6 cards .
What is probability of getting a set of 4 kings and any of the 2 cards ?

Some cards from an ordinary pack of playing cards were laid out on a table with face upwards. I thought of one card there, The KING OF HEARTS. I announced that I would tell Mr. A the value and Mr. B the suit of my chosen card. I whispered to Mr. A that I had chosen a KING and whispered to Mr. B that I had chosen a HEART. Their subsequent discussion went as below:

A: “I do not know the card that was chosen”

B: “I knew you would not”

A: “I still do not know the card, but at least I can now work out its colour”

B: “Now at last I can work out what card it is”

A: “So can I”

What is the least number of cards which could be on the table?

How many of those would be Diamonds?