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รหัสวิซา ค31102
จงหาจำนวนรูปสามเหลี่ยมที่สร้างได้จากการลากเส้นเชื่อมจุดยอดจุดของรูปเหลี่ยมกรูปขรูปครูปงรูป

Ask by Lee Matthews. in Thailand
Jan 27,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

จำนวนรูปสามเหลี่ยมที่สร้างได้จากการลากเส้นเชื่อมจุดยอด 6 จุดของรูปหกเหลี่ยมคือ 20 รูป

Solution

จำนวณรูปสามเหลี่ยมที่สามารถสร้างได้จากการเลือกจุดยอด 3 จุดจากทั้งหมด 6 จุดของรูปหกเหลี่ยม สามารถคำนวณได้โดยใช้การจัดชุดแบบไม่เรียงลำดับ (Combination) ดังนี้:
รูป
ดังนั้นคำตอบที่ถูกต้องคือ
ก. 20 รูป

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Beyond the Answer

เมื่อลากเส้นเชื่อมจุดยอด 6 จุดของรูปหกเหลี่ยม เราสามารถเลือก 3 จุดจาก 6 จุดนี้เพื่อสร้างรูปสามเหลี่ยมได้ โดยใช้สูตรการคำนวณแบบคอมบินาโทเรียน (Combination) ที่เขียนได้ว่า
ในที่นี้ และ ดังนั้น,
ดังนั้น จำนวนรูปสามเหลี่ยมที่สร้างได้จากการลากเส้นเชื่อมจุดยอด 6 จุดของรูปหกเหลี่ยม คือ 20 รูป.
( คำตอบที่ถูกต้องคือ ก. 20 รูป )

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