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Free CBSE - Class 11 Mathematics - Permutations and Combinations worksheets

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1.
The English alphabet has 5 vowels and 21 consonants. How many words with two different vowels and 2 different consonants can be formed from the alphabet ?
2.
In an examination, a question paper consists of 12 questions divided into two parts i.e., Part I and Part II, containing 5 and 7 questions, respectively. A student is required to attempt 8 questions in all, selecting at least 3 from each part. In how many ways can a student select the questions ?
3.
Determine the number of 5-card combinations out of a deck of 52 cards if each selection of 5 cards has exactly one king.
4.
It is required to seat 5 men and 4 women in a row so that the women occupy the even places. How many such arrangements are possible ?
5.
From a class of 25 students, 10 are to be chosen for an excursion party. There are 3 students who decide that either all of them will join or none of them will join. In how many ways can the excursion party be chosen ?
6.
In how many ways can the letters of the word ASSASSINATION be arranged so that all the $S$'s are together ?
7.
A committee of 7 has to be formed from 9 boys and 4 girls. In how many ways can this be done when the committee consists of: (ii) atleast 3 girls ?
8.
A committee of 7 has to be formed from 9 boys and 4 girls. In how many ways can this be done when the committee consists of: (iii) atmost 3 girls ?
9.
If the different permutations of all the letter of the word EXAMINATION are listed as in a dictionary, how many words are there in this list before the first word starting with E ?
10.
How many 6-digit numbers can be formed from the digits 0, 1, 3, 5, 7 and 9 which are divisible by 10 and no digit is repeated ?
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Top Tutors who teach CBSE - Class 11 Mathematics Permutations and Combinations

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Explore concepts of mathematics in very interesting and joyful way.
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I’ve been taking one-on-one Physics and Mathematics coaching for BITSAT, and the experience has been genuinely impactful. What stands out most is the tutor’s ability to break down complex concepts into something that actually sticks. Instead of just pushing formulas, they focus on building intuition, which makes a huge difference in exams like BITSAT where speed and understanding both matter. The sessions are very well-structured but still flexible enough to focus on weak areas. Doubts never feel rushed or brushed aside, and even the “basic” questions get proper attention, which helps strengthen the foundation. Over time, I’ve noticed a clear improvement not just in accuracy, but also in how quickly I can approach problems. Another strong point is the emphasis on problem-solving strategies. It’s not just about solving questions, but about learning how to think through them efficiently, spot patterns, and avoid common traps. That’s been especially helpful for Physics, where the approach matters as much as the answer. Overall, the tutoring feels personalized, focused, and genuinely geared toward improvement rather than just finishing a syllabus. If someone is preparing for BITSAT and wants clarity, consistency, and a smarter way to tackle problems, this kind of one-on-one guidance is definitely worth it.

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superTutorSuper Tutor
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(58)
superTutorSuper Tutor
locationImg Nerul, Mumbai
10 yrs of Exp students 6 students
380 hrs of classes completed
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Maths Tutor
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Writing this review after taking 7-8 classes, Never switches on the camera except the demo class after asking to also to ON the cam he denies saying u can refund your money in a rude way. Reason for not switching on the camera :- he just gives the question to the child and disappears. my child keeps saying Sir, are you there ? and after 5 minutes he comes and start checking the question Out of 1 a1/2 hrs classes he actually teaches for 45 mins, rest is a scam and this has been observed multiple times, before cancelling this teacher. Last Class after my child showed him that he has solved it wrong he said "Tuhmhare sath rehkar main bhi galat karne lag gaya", and how can he say :- Abey Gaadhe tumko yeh bhi nahi aata this is the level of a professional teacher. He has taken Class for 1 Hour and had charged for 1.5 hours and never completed extra Half hour, and even the urban pro denies to pay me back for unconducted hours. Parent please be aware of this fraud teacher.

Skills: Mathematics , Applied Mathematics

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