Math Problem Statement

In a box containing 7 red balls and 8 black balls, 6 balls are drawn, consisting of 2 red and 4 black balls. How many different ways can the balls be selected? Additionally, from a group of 8 students, 2 students are chosen to become the treasurer and secretary of the school cooperative. How many ways can they be chosen?

Solution

The questions in the image involve counting combinations:

  1. Question 2: There is a box containing 7 red balls and 8 black balls. 6 balls are drawn, consisting of 2 red and 4 black balls. The task is to calculate the number of ways to choose these balls.

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Math Problem Analysis

Mathematical Concepts

Combinations
Probability
Permutations

Formulas

Combination formula: C(n, k) = n! / (k! * (n - k)!)

Theorems

Fundamental Counting Principle

Suitable Grade Level

Grades 7-9

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