कितने (5)-तत्व उपसमुच्चय \(A=\{1,2,3,4,5,6,7,8,9,10\}\) से बनाए जा सकते हैं जिनमें (1) शामिल हो?

How many (5)-element subsets can be formed from \(A=\{1,2,3,4,5,6,7,8,9,10\}\) that contain (1)?

Explanation opens after your attempt
Correct Answer

B. (126)

Step 1

Concept

The element (1) is already chosen so the remaining (4) elements are chosen from (9). The number of ways is \(\binom{9}{4}=126\).

Step 2

Why this answer is correct

The correct answer is B. (126). The element (1) is already chosen so the remaining (4) elements are chosen from (9). The number of ways is \(\binom{9}{4}=126\).

Step 3

Exam Tip

(1) पहले से चुना है इसलिए बाकी (4) तत्व (9) में से चुने जाएंगे। तरीकों की संख्या \(\binom{9}{4}=126\) है।

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कितने (5)-तत्व उपसमुच्चय \(A=\{1,2,3,4,5,6,7,8,9,10\}\) से बनाए जा सकते हैं जिनमें (1) शामिल हो? / How many (5)-element subsets can be formed from \(A=\{1,2,3,4,5,6,7,8,9,10\}\) that contain (1)?

Correct Answer: B. (126). Explanation: (1) पहले से चुना है इसलिए बाकी (4) तत्व (9) में से चुने जाएंगे। तरीकों की संख्या \(\binom{9}{4}=126\) है। / The element (1) is already chosen so the remaining (4) elements are chosen from (9). The number of ways is \(\binom{9}{4}=126\).

Which concept should I revise for this Mathematics MCQ?

The element (1) is already chosen so the remaining (4) elements are chosen from (9). The number of ways is \(\binom{9}{4}=126\).

What exam hint can help solve this Mathematics question?

(1) पहले से चुना है इसलिए बाकी (4) तत्व (9) में से चुने जाएंगे। तरीकों की संख्या \(\binom{9}{4}=126\) है।