NCERT Exemplar Solutions
Class 11 - Mathematics - Chapter 7: PERMUTATIONS AND COMBINATIONS
Match the Following

Question. 60

Match the items in Column A with Column B.

Column AColumn B

(a) One book of each subject

(i) 3968

(b) At least one book of each subject

(ii) 60

(c) At least one book of English

(iii) 3255

Answer:

Column AMatched Item from Column B

(a) One book of each subject

(ii) 60

(b) At least one book of each subject

(iii) 3255

(c) At least one book of English

(i) 3968

Question. 61

Match the items in Column A with Column B.

Column AColumn B

(a) Boys and girls alternate

(i) 5! \u00d7 6!

(b) No two girls sit together

(ii) 10! - 5! \u00d7 6!

(c) All the girls sit together

(iii) (5!)^2 + (5!)^2

(d) All the girls are never together

(iv) 2! \u00b7 5! \u00b7 5!

Answer:

Column AMatched Item from Column B

(a) Boys and girls alternate

(iii) (5!)^2 + (5!)^2

(b) No two girls sit together

(i) 5! \u00d7 6!

(c) All the girls sit together

(iv) 2! \u00b7 5! \u00b7 5!

(d) All the girls are never together

(ii) 10! - 5! \u00d7 6!

Question. 62

Match the items in Column A with Column B.

Column AColumn B

(a) In how many ways committee can be formed

(i) 10C\u2082 \u00d7 20C\u2083

(b) In how many ways a particular professor is included

(ii) 10C\u2082 \u00d7 19C\u2082

(c) In how many ways a particular lecturer is included

(iii) 9C\u2081 \u00d7 20C\u2083

(d) In how many ways a particular lecturer is excluded

(iv) 10C\u2082 \u00d7 20C\u2083

Answer:

Column AMatched Item from Column B

(a) In how many ways committee can be formed

(iv) 10C\u2082 \u00d7 20C\u2083

(b) In how many ways a particular professor is included

(iii) 9C\u2081 \u00d7 20C\u2083

(c) In how many ways a particular lecturer is included

(ii) 10C\u2082 \u00d7 19C\u2082

(d) In how many ways a particular lecturer is excluded

(i) 10C\u2082 \u00d7 20C\u2083

Question. 63

Match the items in Column A with Column B.

Column AColumn B

(a) how many numbers are formed?

(i) 840

(b) how many numbers are exactly divisible by 2?

(ii) 200

(c) how many numbers are exactly divisible by 25?

(iii) 360

(d) how many of these are exactly divisible by 4?

(iv) 40

Answer:

Column AMatched Item from Column B

(a) how many numbers are formed?

(i) 840

(b) how many numbers are exactly divisible by 2?

(iii) 360

(c) how many numbers are exactly divisible by 25?

(iv) 40

(d) how many of these are exactly divisible by 4?

(ii) 200

Question. 64

Match the items in Column A with Column B.

Column AColumn B

(a) 4 letters are used at a time

(i) 720

(b) All letters are used at a time

(ii) 240

(c) All letters are used but the first is a vowel

(iii) 360

Answer:

Column AMatched Item from Column B

(a) 4 letters are used at a time

(iii) 360

(b) All letters are used at a time

(i) 720

(c) All letters are used but the first is a vowel

(ii) 240

NCERT Exemplar Solutions Class 11 – Mathematics – Chapter 7: PERMUTATIONS AND COMBINATIONS – Match the Following | Detailed Answers