शब्द (STATISTICS) के अक्षरों की भिन्न व्यवस्थाओं की संख्या कितनी है?

What is the number of distinct arrangements of the letters of (STATISTICS)?

Explanation opens after your attempt
Correct Answer

A. (50400)

Step 1

Concept

There are (10) letters with (S) three times, (T) three times and (I) twice, so the count is (10!/(3!3!2!)). For long words, make a frequency table.

Step 2

Why this answer is correct

The correct answer is A. (50400). There are (10) letters with (S) three times, (T) three times and (I) twice, so the count is (10!/(3!3!2!)). For long words, make a frequency table.

Step 3

Exam Tip

(10) अक्षरों में (S) तीन बार, (T) तीन बार और (I) दो बार है, इसलिए संख्या (10!/(3!3!2!)) है। बड़े शब्दों में आवृत्ति तालिका बनाएं।

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शब्द (STATISTICS) के अक्षरों की भिन्न व्यवस्थाओं की संख्या कितनी है? / What is the number of distinct arrangements of the letters of (STATISTICS)?

Correct Answer: A. (50400). Explanation: (10) अक्षरों में (S) तीन बार, (T) तीन बार और (I) दो बार है, इसलिए संख्या (10!/(3!3!2!)) है। बड़े शब्दों में आवृत्ति तालिका बनाएं। / There are (10) letters with (S) three times, (T) three times and (I) twice, so the count is (10!/(3!3!2!)). For long words, make a frequency table.

Which concept should I revise for this Mathematics MCQ?

There are (10) letters with (S) three times, (T) three times and (I) twice, so the count is (10!/(3!3!2!)). For long words, make a frequency table.

What exam hint can help solve this Mathematics question?

(10) अक्षरों में (S) तीन बार, (T) तीन बार और (I) दो बार है, इसलिए संख्या (10!/(3!3!2!)) है। बड़े शब्दों में आवृत्ति तालिका बनाएं।