यदि (n) अलग वस्तुओं को (a,b,c) आकार के labelled समूहों में बांटना हो और (a+b+c=n), तो सूत्र कौन-सा है?
If (n) distinct objects are divided into labelled groups of sizes (a,b,c) and (a+b+c=n), which formula is correct?
Explanation opens after your attempt
B. \(\frac{n!}{a!b!c!}\)
Concept
Labelled groups are fixed and order inside each group is not counted. In exams put group-size factorials in the multinomial denominator.
Why this answer is correct
The correct answer is B. \(\frac{n!}{a!b!c!}\). Labelled groups are fixed and order inside each group is not counted. In exams put group-size factorials in the multinomial denominator.
Exam Tip
Labelled groups fixed हैं और हर group के अंदर order नहीं गिना जाता। परीक्षा में multinomial denominator में group-size factorials रखें।
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