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?

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Correct Answer

B. \(\frac{n!}{a!b!c!}\)

Step 1

Concept

Labelled groups are fixed and order inside each group is not counted. In exams put group-size factorials in the multinomial denominator.

Step 2

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.

Step 3

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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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?

Correct Answer: B. \(\frac{n!}{a!b!c!}\). Explanation: Labelled groups fixed हैं और हर group के अंदर order नहीं गिना जाता। परीक्षा में multinomial denominator में group-size factorials रखें। / Labelled groups are fixed and order inside each group is not counted. In exams put group-size factorials in the multinomial denominator.

Which concept should I revise for this Mathematics MCQ?

Labelled groups are fixed and order inside each group is not counted. In exams put group-size factorials in the multinomial denominator.

What exam hint can help solve this Mathematics question?

Labelled groups fixed हैं और हर group के अंदर order नहीं गिना जाता। परीक्षा में multinomial denominator में group-size factorials रखें।