शब्द (MISSISSIPPI) की व्यवस्थाओं में दोनों (P) साथ हों, ऐसी कितनी भिन्न व्यवस्थाएं हैं?

In arrangements of (MISSISSIPPI), how many distinct arrangements have both (P)'s together?

Explanation opens after your attempt
Correct Answer

D. (6300)

Step 1

Concept

Treat both (P)'s as one block, giving (10) units with (I) and (S) each repeated four times. Hence the count is (10!/(4!4!)).

Step 2

Why this answer is correct

The correct answer is D. (6300). Treat both (P)'s as one block, giving (10) units with (I) and (S) each repeated four times. Hence the count is (10!/(4!4!)).

Step 3

Exam Tip

दोनों (P) को एक खंड मानने पर (10) इकाइयां बनती हैं, जिनमें (I) और (S) चार-चार बार हैं। इसलिए संख्या (10!/(4!4!)) है।

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शब्द (MISSISSIPPI) की व्यवस्थाओं में दोनों (P) साथ हों, ऐसी कितनी भिन्न व्यवस्थाएं हैं? / In arrangements of (MISSISSIPPI), how many distinct arrangements have both (P)'s together?

Correct Answer: D. (6300). Explanation: दोनों (P) को एक खंड मानने पर (10) इकाइयां बनती हैं, जिनमें (I) और (S) चार-चार बार हैं। इसलिए संख्या (10!/(4!4!)) है। / Treat both (P)'s as one block, giving (10) units with (I) and (S) each repeated four times. Hence the count is (10!/(4!4!)).

Which concept should I revise for this Mathematics MCQ?

Treat both (P)'s as one block, giving (10) units with (I) and (S) each repeated four times. Hence the count is (10!/(4!4!)).

What exam hint can help solve this Mathematics question?

दोनों (P) को एक खंड मानने पर (10) इकाइयां बनती हैं, जिनमें (I) और (S) चार-चार बार हैं। इसलिए संख्या (10!/(4!4!)) है।