Math Problem Statement
A standard deck of cards consists of four suits (clubs, diamonds, hearts, and spades), with each suit containing 13 cards (ace, two through ten, jack, queen, and king) for a total of 52 cards in all. How many 7-card hands will consist of exactly 2 kings and 3 queens?
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Combinatorics
Probability
Formulas
Combination formula: \( \binom{n}{r} = \frac{n!}{r!(n-r)!} \)
Theorems
Combination Principle
Suitable Grade Level
Grades 9-12
Related Recommendation
Calculate the Number of 7-Card Hands with Exactly 2 Kings and 3 Queens
How to Calculate 5-Card Combinations with Exactly 1 King in a Deck of 52 Cards
How Many Hands with Exactly 3 Sevens in an 8-Card Deal?
Calculate the Probability of Drawing 2 Kings, 2 Queens, and No Jack from a Deck of 52 Cards
Probability of Getting Four Queens and Four Kings from a Deck of 52 Cards