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.





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