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

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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