In This Post we are providing Chapter-7 PERMUTATIONS AND COMBINATIONS NCERT MOST IMPORTANT QUESTIONS for Class 11 MATHS which will be beneficial for students. These solutions are updated according to 2021-22 syllabus. These MCQS can be really helpful in the preparation of Board exams and will provide you with a brief knowledge of the chapter.
NCERT MOST IMPORTANT QUESTIONS ON PERMUTATIONS AND COMBINATIONS
1.In how many ways of selecting 9 balls from 6 red balls, 5 white balls and 5 blue balls if each selection consists of 3 balls of each colours.
Ans.No. of ways of selecting 9 balls
2.Find if
Ans.
Rejected. Because if we put the no. in the factorial is –ve.
3.If find
Ans.
4.What is
Ans.
Is multiplication of 
consecutive natural number
5.If what is the value of 
Ans.
then 
6.How many words, with or with not meaning each of 2 vowels and 3 consonants can be flamed from the letter of the word DAUGHTER?
Ans.In the word DAUGHTER There are 3 vowels and 5 consonants out of 3 vowels, 2 vowels can be selected in
ways and 3 consonants can be selected in
ways 5 letters 2 vowel and 3 consonant can be arranged in 5! Ways
Total no. of words 
7.Convert the following products into factorials
Ans.
8.Evaluate
Ans.
9.Evaluate
Ans.
10.Find if
Ans.Given 
11.Evaluate
Ans.
12.Convert into factorial 2.4.6.8.10.12
Ans. 
13.How many words with or without meaning can be formed using all the letters of the word ‘EQUATION’ at a time so that vowels and consonants occur together
Ans. In the word ‘EQUATION’ there are 5 vowels [A.E.I.O.U.] and 3 consonants [Q.T.N]
Total no. of letters = 8
Arrangement of 5 vowels = 
Arrangements of 3 consonants = 
Arrangements of vowels and consonants = 
Total number of words 
14. How many words, with or without meaning can be made from the letters of the word MONDAY. Assuming that no. letter is repeated, it
(i) 4 letters are used at a time
(ii) All letters are used but first letter is a vowel?
Ans. Part-I In the word MONDAY there are 6 letters
4 letters are used at a time
Total number of words 
Part-II All letters are used at a time but first letter is a vowel then OAMNDY
2 vowels can be arranged in 2! Ways
4 consonants can be arranged in 4! Ways
Total number of words 
15.Prove that
Ans.Proof L.H.S.
