(10) अलग-अलग अक्षरों में से (5) अक्षर चुनने हैं जिनमें (a) हो, (b) न हो और (c,d) में से ठीक एक अक्षर हो। कितने तरीके हैं?

From (10) distinct letters (5) letters are to be selected containing (a), not containing (b), and containing exactly one of (c,d). How many ways are there?

Explanation opens after your attempt
Correct Answer

B. (40)

Step 1

Concept

The letter (a) is fixed and (b) is excluded. Choose (1) from (c,d) and (3) from the remaining (6), so \(\binom{2}{1}\binom{6}{3}=40\).

Step 2

Why this answer is correct

The correct answer is B. (40). The letter (a) is fixed and (b) is excluded. Choose (1) from (c,d) and (3) from the remaining (6), so \(\binom{2}{1}\binom{6}{3}=40\).

Step 3

Exam Tip

(a) तय है और (b) हट गया है। (c,d) में से (1) और शेष (6) में से (3) चुनेंगे इसलिए \(\binom{2}{1}\binom{6}{3}=40\) है।

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Mathematics Answer, Explanation and Revision Hints

(10) अलग-अलग अक्षरों में से (5) अक्षर चुनने हैं जिनमें (a) हो, (b) न हो और (c,d) में से ठीक एक अक्षर हो। कितने तरीके हैं? / From (10) distinct letters (5) letters are to be selected containing (a), not containing (b), and containing exactly one of (c,d). How many ways are there?

Correct Answer: B. (40). Explanation: (a) तय है और (b) हट गया है। (c,d) में से (1) और शेष (6) में से (3) चुनेंगे इसलिए \(\binom{2}{1}\binom{6}{3}=40\) है। / The letter (a) is fixed and (b) is excluded. Choose (1) from (c,d) and (3) from the remaining (6), so \(\binom{2}{1}\binom{6}{3}=40\).

Which concept should I revise for this Mathematics MCQ?

The letter (a) is fixed and (b) is excluded. Choose (1) from (c,d) and (3) from the remaining (6), so \(\binom{2}{1}\binom{6}{3}=40\).

What exam hint can help solve this Mathematics question?

(a) तय है और (b) हट गया है। (c,d) में से (1) और शेष (6) में से (3) चुनेंगे इसलिए \(\binom{2}{1}\binom{6}{3}=40\) है।