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In how many ways 5 identical red balls and 7 distinct black balls can be arranged in a line such that no two red balls  are adjacent

Question

In how many ways 5 identical red balls and 7 distinct black balls can be arranged in a line such that no two red balls  are adjacent
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Solution 1

The problem can be solved using the concept of permutations and combinations.

Step 1: Arrange the 7 distinct black balls. They can be arranged in 7! ways.

Step 2: Now, consider the spaces between the black balls. There are 8 such spaces (including the ends).

Step 3: We need to place 5 identical Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.

Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
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