शब्द (EXAMINATION) में अक्षरों की कुल भिन्न व्यवस्थाओं की संख्या कितनी है?

What is the total number of distinct arrangements of the letters in (EXAMINATION)?

Explanation opens after your attempt
Correct Answer

A. (9979200)

Step 1

Concept

There are (11) letters with (I,N,A) each repeated twice, so the count is (11!/(2!2!2!)). In long words, note repeated letters separately.

Step 2

Why this answer is correct

The correct answer is A. (9979200). There are (11) letters with (I,N,A) each repeated twice, so the count is (11!/(2!2!2!)). In long words, note repeated letters separately.

Step 3

Exam Tip

(11) अक्षरों में (I,N,A) दो-दो बार हैं, इसलिए संख्या (11!/(2!2!2!)) है। बड़े शब्दों में दोहराए अक्षर अलग से नोट करें।

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शब्द (EXAMINATION) में अक्षरों की कुल भिन्न व्यवस्थाओं की संख्या कितनी है? / What is the total number of distinct arrangements of the letters in (EXAMINATION)?

Correct Answer: A. (9979200). Explanation: (11) अक्षरों में (I,N,A) दो-दो बार हैं, इसलिए संख्या (11!/(2!2!2!)) है। बड़े शब्दों में दोहराए अक्षर अलग से नोट करें। / There are (11) letters with (I,N,A) each repeated twice, so the count is (11!/(2!2!2!)). In long words, note repeated letters separately.

Which concept should I revise for this Mathematics MCQ?

There are (11) letters with (I,N,A) each repeated twice, so the count is (11!/(2!2!2!)). In long words, note repeated letters separately.

What exam hint can help solve this Mathematics question?

(11) अक्षरों में (I,N,A) दो-दो बार हैं, इसलिए संख्या (11!/(2!2!2!)) है। बड़े शब्दों में दोहराए अक्षर अलग से नोट करें।