NCERT MCQ CLASS-11 CHAPTER-7 | MATH NCERT MCQ | PERMUTATIONS AND COMBINATIONS | EDUGROWN

In This Post we are  providing Chapter-7 Permutations and Combinations NCERT MCQ for Class 11 Math 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 MCQ ON PERMUTATIONS AND COMBINATIONS

Question 1. In how many ways can a consonants and a vowel be chosen out of the word COURAGE?
(a) ⁷C₂
(b) ⁷P₂
(c) ⁴P₁× ³P₁
(d) ⁴P₁+ ³P1

Answer :   C

Question 2. How many words can be formed from the letters of the word DOGMATIC, if all the vowels remain together :
(a) 4140
(b) 4320
(c) 432
(d) 43

Answer :  B

Question 3. Numbers lying between 999 and 10000 than can be formed from the digits 0, 2, 3, 6, 7, 8 (repetition of digits not allowed) are :
(a) 100
(b) 200
(c) 300
(d) 400

Answer :  C

Question 4. How many numbers of 6 digits can be formed from the digits of the number 112233?
(a) 30
(b) 60
(c) 90
(d) 120

Answer :  C

Question 5. The sum of all five digit numbers that can be formed using the digits 1, 2, 3, 4, 5 when repetition of digits is not allowed, is
(a) 366000
(b) 660000
(c) 360000
(d) 3999960

Answer :  D

Question 6. How many 10 digit numbers can be written by using the digits 1 and 2 :
(a) 10C1 + 9C2
(b) 210
(c) 10C2
(d) 10!

Answer :  B

Question 7. In a test there were n questions. In the test 2n – i students gave wrong answers to i questions i = 1, 2, 3, ……..n. If the total number of wrong answers given is 2047 then n is
(a) 12
(b) 11
(c) 10
(d) None of these

Answer :  C

Question 8. A set contains (2n + 1) elements. If the number of subsets of this set which contain at most n elements is 4096, then the value of n is
(a) 6
(b) 15
(c) 21
(d) None of these

Answer :  D

Question 9. The number of numbers of 9 different non-zero digits such that all the digits in the first four places are less than the digit in the middle and all the digits in the last four places are greater than the digit in the middle is
(a) 2 (4 !)
(b) (4 !) 2
(c) 8 !
(d) None of these

Answer :  B

Question 10. The number of parallelograms that can be formed from a set of four parallel lines intersecting another set of three parallel lines:
(a) 6
(b) 9
(c) 18
(d) 12

Answer :  C

Question 11. Ten different letters of an alphabet are given, words with five letters are formed. The number of words which at least one letter repeated is :
(a) 69760
(b) 30240
(c) 99748
(d) 37120

Answer :  A

Question 12. There are 10 points in a plane, out of which 4 points are collinear. The number of triangles formed with vertices as there points is:
(a) 20
(b) 120
(c) 40
(d) 116

Answer :  D

Question 13. In a college of 300 students, every student read 5 newspapers and every newspaper is read by 60 students. The number of newspaper is:
(a) at least 30
(b) at most 20
(c) exactly 25
(d) none of these

Answer :  C

Question 14. The number of ways in which 6 rings can be worn on four fingers of one hand is :
(a) 46
(b) 6C4
(c) 64
(d) 24

Answer :  C

Question 15. In a chess tournament where the participants were to play one game with one another, two players fell ill having played 6 games each, without playing among themselves. If the total number of games is 117, then the number of participants at the beginning was :
(a) 15
(b) 16
(c) 17
(d) 18

Answer :  A