Practice Question - Counting FULL HOUSE Hands in Poker | Combinatorics

➤ Combinatorics - Complete Summary, GATE PYQs, Practice Playlist:    • Combinatorics - Complete Summary, All GATE...   ➤ Discrete Mathematics Complete Revision, Summary & GATE PYQs:    • Discrete Mathematics - Compact Course & GA...   ➤ Graph Theory Complete Summary, Revision & GATE PYQs:    • Graph Theory - Compact Course, All GATE PY...   ➤ Propositional Logic Complete Summary, GATE PYQs & Practice:    • Propositional Logic - Complete Summary, Al...   ➤ First Order Logic Complete Summary, GATE PYQs & Practice:    • First Order Logic - Complete Summary, All ...   ➤ Set Theory, Relations, Poset, Lattice Complete Summary, GATE PYQs & Practice:    • Set Theory - GATE PYQs, Summary, Practice,...   ➤ Functions Complete Summary, GATE PYQs & Practice:    • Functions - GATE PYQs, Summary, Practice, ...   ➤ Group Theory Complete Summary, GATE PYQs & Practice:    • Group Theory - Summary, GATE PYQs, Practic...   ➤ Recurrence Relations in Discrete Mathematics, Complete Playlist:    • Recurrence Relations in Discrete Mathemati...   ➤ Discrete Mathematics Practice Questions:    • Discrete Mathematics Practice Questions | ...   Counting Poker Hands Poker: Poker is played with a 52 card deck. Each card has two attributes, a rank and a suit. The rank of a card can be any of 13 possibilities: {2, 3, 4, 5, 6, 7, 8, 9, 10,J,Q,K,A}, while the suit can be any of 4 possibilities: {♣, ♦, ♥, ♠}. We exclude jokers and wildcards. Full house: This consists of three cards of one rank and two cards of another rank. Thus, the number of full house hands is 3744. (Poker & Probability) Probability of getting a Full House: In a standard 52-card deck poker hand, there are 3,744 possible full houses. This is calculated by choosing the rank for the three of a kind (13 options), then selecting three suits out of four (4C3 = 4), then choosing the rank for the pair (12 options), and finally selecting two suits out of four (4C2 = 6), resulting in 13 * 4 * 12 * 6 = 3744. Crack GATE Computer Science Exam with the Best Course. ➤ Join "GO Classes #GateCSE Complete Course": https://www.goclasses.in/courses/GATE... ➤ Join "GATE CSE+DA Combined Course": https://www.goclasses.in/courses/GATE... ➤ Join "GO Classes #GateDA Complete Course": https://www.goclasses.in/courses/GATE... ➤ TEST Series for GATE CSE: https://gateoverflow.in/blog/15723/ga... ➤ Download GO Classes Android APP: https://play.google.com/store/apps/de... ➤ GO Classes GATE DA YouTube Channel:    / @goclassesforgateda   ---------------------------------------------------- #GoClasses Website : https://www.goclasses.in/ #GoClasses ALL Links : https://linktr.ee/goclasses ➤ Join GATEOverflow + GoClasses Combined GATE CSE TEST SERIES for Best Quality questions for GATE CSE Preparation, Here: https://gateoverflow.in/blog/15723/ga... ---------------------------------------------------- ➤Join GATE Overflow & GO Classes Telegram Groups for GATE CSE Doubt Discussions: 1. https://t.me/GoClasses_CSE 2. https://t.me/GATECSE_Goclasses 3. https://t.me/gateoverflow_cse ---------------------------------------------------- ➤ Watch Complete Discrete Mathematics and Complete Engineering Mathematics Courses on GO Classes( FREE for ALL learners) : https://www.goclasses.in/s/store/ Complete #Discrete_Mathematics Course(FREE) Link : https://www.goclasses.in/courses/Disc... Complete #Engineering_Mathematics Course(FREE) Link : https://www.goclasses.in/courses/Engi... Download GATEOverflow GATE Previous Years Questions(GATE CSE PYQs) Books here: https://github.com/GATEOverflow/GO-PD... ---------------------------------------------------- Feel free to Contact Us for any query. ➤ GO Classes Contact : (+91)63025 36274 GO Classes Mail ID : [email protected] #gate2025 #goclasses #computerscience #gateda #gatecs #computer_science #gatecse