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distinct letters MCQ Questions for Class 11

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2 questions tagged with distinct letters.

Question 1/2 Medium Mathematics Permutations and Combinations Permutations Class 11 Level 58

शब्द गणित के अक्षरों को कितने तरीकों से सजाया जा सकता है?

How many ways can the letters of GANIT be arranged?

Explanation opens after your attempt
Correct Answer

A. (120)

Step 1

Concept

All (5) letters are distinct, so (5!=120). In exams, use (n!) directly when there are no repeated letters.

Step 2

Why this answer is correct

The correct answer is A. (120). All (5) letters are distinct, so (5!=120). In exams, use (n!) directly when there are no repeated letters.

Step 3

Exam Tip

सभी (5) अक्षर अलग हैं, इसलिए (5!=120)। परीक्षा में समान अक्षर न हों तो सीधे (n!) लगाएं।

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Question 2/2 Expert Mathematics Sets Sets and their representations Class 11 Level 3

\(समुच्चय (Q={x:x\) शब्द गणित के अलग-अलग अक्षर हैं}) का रोस्टर रूप कौन-सा है?

\(Which is the roster form of (Q={x:x\) is a distinct letter of the word mathematics})?

Explanation opens after your attempt
Correct Answer

A. \(Q=\{m,a,t,h,e,i,c,s\}\)

Step 1

Concept

In a set, repeated letters are written only once.

Step 2

Why this answer is correct

The distinct letters of the word are (m,a,t,h,e,i,c,s), so the first option is correct.

Step 3

Exam Tip

In letter-based sets, both order and repetition do not matter. चरण 1: समुच्चय में दोहराए गए अक्षर केवल एक बार लिखे जाते हैं। चरण 2: शब्द में अलग-अलग अक्षर (m,a,t,h,e,i,c,s) हैं, इसलिए पहला विकल्प सही है। चरण 3: अक्षर वाले समुच्चय में क्रम और दोहराव दोनों का महत्व नहीं होता।

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