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cases MCQ Questions for Class 11

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4 questions tagged with cases.

Question 1/4 Hard Mathematics Permutations and Combinations Derivations of formulas and their connections Class 11 Level 66

(n) अलग वस्तुओं में से अधिकतम (3) वस्तुएं चुनने की संख्या कौन-सी है?

What is the number of ways to select at most (3) objects from (n) distinct objects?

Explanation opens after your attempt
Correct Answer

B. \(1+n+{}^{n}C_2+{}^{n}C_3\)

Step 1

Concept

At most (3) includes selections of (0), (1), (2), and (3). In exams add all allowed cases when there is an upper limit.

Step 2

Why this answer is correct

The correct answer is B. \(1+n+{}^{n}C_2+{}^{n}C_3\). At most (3) includes selections of (0), (1), (2), and (3). In exams add all allowed cases when there is an upper limit.

Step 3

Exam Tip

At most (3) में (0), (1), (2), और (3) selections शामिल होते हैं। परीक्षा में upper limit हो तो सभी allowed cases जोड़ें।

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Question 2/4 Expert Mathematics Permutations and Combinations Fundamental principle of counting Class 11 Level 53

एक बैज में (1) आकार, (1) रंग और (1) अक्षर चुना जाता है। आकार (4) हैं, रंग (3) हैं, अक्षर (5) हैं। यदि गोल आकार के साथ केवल (2) रंग मान्य हैं और बाकी (3) आकारों के साथ सभी रंग मान्य हैं, तो कुल कितने बैज बनेंगे?

A badge is made by choosing (1) shape, (1) color, and (1) letter. There are (4) shapes, (3) colors, and (5) letters. If the circular shape allows only (2) colors and the other (3) shapes allow all colors, how many badges are possible?

Explanation opens after your attempt
Correct Answer

B. \(1 \times 2 \times 5+3 \times 3 \times 5=55\)

Step 1

Concept

Color choices differ for the circular shape and the other shapes. In such questions, make cases and add them.

Step 2

Why this answer is correct

The correct answer is B. \(1 \times 2 \times 5+3 \times 3 \times 5=55\). Color choices differ for the circular shape and the other shapes. In such questions, make cases and add them.

Step 3

Exam Tip

गोल आकार और अन्य आकारों के लिए रंग-विकल्प अलग हैं। ऐसे सवाल में केस बनाकर जोड़ना चाहिए।

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Question 3/4 Expert Mathematics Permutations and Combinations Fundamental principle of counting Class 11 Level 53

एक मार्ग में (4) बस मार्ग और (3) रेल मार्ग उपलब्ध हैं। यात्री या तो बस से जाकर रेल से लौटता है या रेल से जाकर बस से लौटता है। जाने और लौटने का मार्ग अलग माध्यमों से है। कुल कितने यात्रा-विकल्प हैं?

There are (4) bus routes and (3) rail routes. A traveler either goes by bus and returns by rail, or goes by rail and returns by bus. How many travel options are possible?

Explanation opens after your attempt
Correct Answer

B. \(4 \times 3+3 \times 4=24\)

Step 1

Concept

There are two separate cases and each has (12) options. Add the cases for or, and multiply within each case.

Step 2

Why this answer is correct

The correct answer is B. \(4 \times 3+3 \times 4=24\). There are two separate cases and each has (12) options. Add the cases for or, and multiply within each case.

Step 3

Exam Tip

दो अलग-अलग मामले हैं और दोनों में (12) विकल्प हैं। या वाले मामलों को जोड़ें और प्रत्येक मामले में गुणा करें।

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Question 4/4 Expert Mathematics Permutations and Combinations Fundamental principle of counting Class 11 Level 53

एक मेनू में (4) सूप, (5) मुख्य व्यंजन और (3) मिठाइयाँ हैं। ग्राहक या तो सूप के साथ मुख्य व्यंजन या मुख्य व्यंजन के साथ मिठाई या तीनों ले सकता है। कुल कितने भोजन-विकल्प होंगे?

A menu has (4) soups, (5) main dishes, and (3) desserts. A customer may take soup with main dish, main dish with dessert, or all three. How many meal choices are possible?

Explanation opens after your attempt
Correct Answer

A. \(4 \times 5+5 \times 3+4 \times 5 \times 3=95\)

Step 1

Concept

There are three separate cases and their results are added. Within each case the choices are multiplied.

Step 2

Why this answer is correct

The correct answer is A. \(4 \times 5+5 \times 3+4 \times 5 \times 3=95\). There are three separate cases and their results are added. Within each case the choices are multiplied.

Step 3

Exam Tip

यहाँ तीन अलग-अलग मामले हैं और उनके परिणाम जोड़े जाते हैं। हर मामले के अंदर विकल्प गुणा किए जाते हैं।

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