NCERT MOST IMPORTANT QUESTIONS CLASS – 11 | MATHS IMPORTANT QUESTIONS | CHAPTER – 7 | PERMUTATIONS AND COMBINATIONS | EDUGROWN |

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

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2.Find if 

Ans.

 Rejected. Because if we put the no. in the factorial is –ve.

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3.If find 

Ans.

4.What is 

Ans.Is multiplication of consecutive natural number

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5.If what is the value of 

Ans. then 

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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 

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7.Convert the following products into factorials 

Ans.

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8.Evaluate 

Ans.

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9.Evaluate 

Ans.

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10.Find if 

Ans.Given 

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11.Evaluate 

Ans.

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12.Convert into factorial 2.4.6.8.10.12

Ans. 

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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   

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15.Prove that 

Ans.Proof L.H.S.

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