(1) से (48) तक की संख्याओं में से (4) ऐसी संख्याएं चुननी हैं जो (6) की गुणज हों और (2) ऐसी संख्याएं जो (6) की गुणज न हों। कितने तरीके हैं?

From numbers (1) to (48), (4) numbers that are multiples of (6) and (2) numbers that are not multiples of (6) are to be selected. How many ways are there?

Explanation opens after your attempt
Correct Answer

D. (54600)

Step 1

Concept

There are (8) multiples of (6) and (40) non-multiples. The ways are \(\binom{8}{4}\binom{40}{2}=54600\).

Step 2

Why this answer is correct

The correct answer is D. (54600). There are (8) multiples of (6) and (40) non-multiples. The ways are \(\binom{8}{4}\binom{40}{2}=54600\).

Step 3

Exam Tip

(6) की (8) गुणज और (40) गैर-गुणज संख्याएं हैं। तरीके \(\binom{8}{4}\binom{40}{2}=54600\) हैं।

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Mathematics Answer, Explanation and Revision Hints

(1) से (48) तक की संख्याओं में से (4) ऐसी संख्याएं चुननी हैं जो (6) की गुणज हों और (2) ऐसी संख्याएं जो (6) की गुणज न हों। कितने तरीके हैं? / From numbers (1) to (48), (4) numbers that are multiples of (6) and (2) numbers that are not multiples of (6) are to be selected. How many ways are there?

Correct Answer: D. (54600). Explanation: (6) की (8) गुणज और (40) गैर-गुणज संख्याएं हैं। तरीके \(\binom{8}{4}\binom{40}{2}=54600\) हैं। / There are (8) multiples of (6) and (40) non-multiples. The ways are \(\binom{8}{4}\binom{40}{2}=54600\).

Which concept should I revise for this Mathematics MCQ?

There are (8) multiples of (6) and (40) non-multiples. The ways are \(\binom{8}{4}\binom{40}{2}=54600\).

What exam hint can help solve this Mathematics question?

(6) की (8) गुणज और (40) गैर-गुणज संख्याएं हैं। तरीके \(\binom{8}{4}\binom{40}{2}=54600\) हैं।