(12) अलग वस्तुओं को (4,4,4) के unlabelled समूहों में बांटने का formula क्या होगा?

What is the formula for dividing (12) distinct objects into unlabelled groups of (4,4,4)?

Explanation opens after your attempt
Correct Answer

B. \(\frac{12!}{4!4!4!3!}\)

Step 1

Concept

All three groups have equal size and are unlabelled, so the (3!) interchange of groups is also removed. In exams divide extra by factorial for equal unlabelled groups.

Step 2

Why this answer is correct

The correct answer is B. \(\frac{12!}{4!4!4!3!}\). All three groups have equal size and are unlabelled, so the (3!) interchange of groups is also removed. In exams divide extra by factorial for equal unlabelled groups.

Step 3

Exam Tip

तीनों groups equal size और unlabelled हैं, इसलिए groups की (3!) अदला-बदली भी हटती है। परीक्षा में समान unlabelled groups पर extra factorial divide करें।

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Mathematics Answer, Explanation and Revision Hints

(12) अलग वस्तुओं को (4,4,4) के unlabelled समूहों में बांटने का formula क्या होगा? / What is the formula for dividing (12) distinct objects into unlabelled groups of (4,4,4)?

Correct Answer: B. \(\frac{12!}{4!4!4!3!}\). Explanation: तीनों groups equal size और unlabelled हैं, इसलिए groups की (3!) अदला-बदली भी हटती है। परीक्षा में समान unlabelled groups पर extra factorial divide करें। / All three groups have equal size and are unlabelled, so the (3!) interchange of groups is also removed. In exams divide extra by factorial for equal unlabelled groups.

Which concept should I revise for this Mathematics MCQ?

All three groups have equal size and are unlabelled, so the (3!) interchange of groups is also removed. In exams divide extra by factorial for equal unlabelled groups.

What exam hint can help solve this Mathematics question?

तीनों groups equal size और unlabelled हैं, इसलिए groups की (3!) अदला-बदली भी हटती है। परीक्षा में समान unlabelled groups पर extra factorial divide करें।