PERMUTATIONS AND COMBINATIONS CLASS 11 IMPORTANT TOUGH TRICKY QUESTIONS CAT/IIT/JEE MAINS/SSC EXAMS

SOLUTION: Given 5 different green dyes, four different blue dyes and three different red dyes, the number of combinations of dyes which can be chosen taking at least one green and one blue dye is

3600
(B) 3720
(C) 3800
(D) 3600

Learn Permutations and Combination class 11th and entire NCERT Math from class 9th, 10th, 11th and 12th on our website

In all these videos on Permutations and Combinations I have always focused on explaining the basics and then solving the questions. My way of solving question will always refer back to the basics explained previously so that students can make the connect between basics and application of them.
Let’s now start about the Permutations and Combinations:

Lets get to know permutations first:

Permutations or arranging numbers or anything in an order
1, 2
3, 4, 6
1, 2, 3 4
With repetition and w/out repetition
Permutation when all the objects are different.
Theorem 1:
The numbers of permutations of n different objects taken r at a time, where n and the objects do not repeat is n (n – 1) (n – 2)……….(n - r + 1)
For ex. In how many ways 2, 9, 7, 6, 8, 1, 4, 3, 5 can be arranged into 5 digit numbers.
Formula for permutation:
Without repetition:
n_{P_r} = \frac{n!}{\left(n\ -r\right)!} ,
With repetition
n^r
Lets talk about combinations now:
Combinations of numbers or anything where order is not important
Combination Formula:
n_{C_r} = \frac{n!}{r!\left(n-r\right)!}
n_{C_r} + n_{C_{r\ -1}} = ({n+1)}_{C_r}
Permutation and Combination Important Questions Class 11 Exemplar and NCERT Solutions

We will take all of them one by one in different videos. I have done complete basic videos and then solved questions from NCERT and Exemplar syllabus.

Please use this link for the YouTube playlist of Class 11th Math:

Ellipse Important Questions Class 11 Exemplar and NCERT Solutions

3D Geometry Class 11th

Relations and Functions Important Questions Class 11 Exemplar and NCERT Solutions

Trigonometric Functions Important Questions Class 11 Exemplar and NCERT Solutions

Linear Inequalities Important Questions Class 11 Exemplar and NCERT Solutions

Binomial Theorem Important Questions Class 11 Exemplar and NCERT Solutions

Straight Lines Important Questions Class 11 Exemplar and NCERT Solutions

Hyperbola Important Questions Class 11 Exemplar and NCERT Solutions

Parabola Important Questions Class 11 Exemplar and NCERT Solutions

Circle Important Questions Class 11 Exemplar and NCERT Solutions

Sets Important Questions Class 11 Exemplar and NCERT Solutions

Class 11 Math Important Practice Questions

Mathsphy provides unconventional and a better way of learning maths. It saves time and gives you ease of learning anytime anywhere at your convenience. It has more than 1000 videos for 9th , 10th and 11th grade students explaining topic concepts and then solving all the questions in a very professional language giving you the experience of personalized tutoring.

Class 11 I have: Sets, Relations and Functions, Trigonometric Functions, Permutations and Combinations, Linear Inequality, Binomial Theorem, Straight Lines, Conic Sections.

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