Question:medium

A coach needs to select a \(4\)-player starting lineup from a pool of \(10\) players consisting of:
• \(5\) guards
• \(3\) forwards
• \(2\) centres Find the number of different selections if the lineup must include:
• At least \(1\) guard
• At most \(1\) forward
• Exactly \(1\) centre

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In combination problems with restrictions, divide the problem into separate valid cases and add the results.
Updated On: May 16, 2026
  • \(70\)
  • \(60\)
  • \(80\)
  • \(20\)
Show Solution

The Correct Option is C

Solution and Explanation

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