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Mixed Worksheet for Permutations and Combinations Class 11

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Sample questions

1. Question 1 [1 mark]
NCERT Exemplar
There are four bus routes between A and B; and three bus routes between B and C. A man can travel round-trip in number of ways by bus from A to C via B. If he does not want to use a bus route more than once, in how many ways can he make round trip?
(A)
72
(B)
144
(C)
14
(D)
19
2. Question 2 [1 mark]

Assertion: The number of 4-digit security codes formed from the digits 0 to 9, with repetition allowed but with the first digit non-zero, is 9000.


Reason: The first position has 9 choices, while each of the remaining three positions has 10 choices; hence the total is \(9\times 10\times 10\times 10\).

(A)
Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
(B)
Both Assertion and Reason are true, but Reason is not the correct explanation of Assertion.
(C)
Assertion is true, but Reason is false.
(D)
Assertion is false, but Reason is true.
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About this Mixed Worksheet

This mixed worksheet is designed for Class 11 Maths practice from Permutations and Combinations Class 11. It uses the question types selected for this worksheet and keeps the preview representative of the complete set.

Solve the questions first, then use the separate answer key to check the method and identify concepts that need revision. For more practice, continue with the chapter quiz or another worksheet below.

Frequently asked questions

How many questions are in this mixed worksheet?

The complete worksheet contains 10 questions. This page shows a fixed preview of 2 questions.

Does the worksheet include answers?

Yes. The complete download includes a questions PDF and a separate answer key PDF.

Do the sample questions change when the page is refreshed?

No. The preview is fixed and is the same for every visitor. The downloaded worksheet is generated separately.

How should I use this mixed worksheet?

Attempt the questions without the answer key, check each solution afterwards, and revise the linked chapter concepts before trying another worksheet or quiz.