Arts (English Medium) Class 11 - CBSE Question Bank Solutions for Mathematics

Write which of the following statements are true? Justify your answer. 

The set of all integers is contained in the set of all set of all rational numbers. 

Write which of the following statement are true? Justify your answer. 

The set of all crows is contained in the set of all birds. 

Write which of the following statement are true? Justify your answer. 

 The set of all rectangle is contained in the set of all squares.

Write which of the following statement are true? Justify your answer.

 The set of all real numbers is contained in the set of all complex numbers.

Write which of the following statement are true? Justify your answer.

The sets P = {a} and B = {{a}} are equal.

Write which of the following statement are true? Justify your answer. 

The sets A = {x : x is a letter of the word "LITTLE"} and,B = {x : x is a letter of the word "TITLE"} are equal. 

Given 7 flags of different colours, how many different signals can be generated if a signal requires the use of two flags, one below the other?

A team consists of 6 boys and 4 girls and other has 5 boys and 3 girls. How many single matches can be arranged between the two teams when a boy plays against a boy and a girl plays against a girl?

How many A.P.'s with 10 terms are there whose first term is in the set {1, 2, 3} and whose common difference is in the set {1, 2, 3, 4, 5}?

From among the 36 teachers in a college, one principal, one vice-principal and the teacher-incharge are to be appointed. In how many ways can this be done?

How many different five-digit number licence plates can be made if

first digit cannot be zero and the repetition of digits is not allowed,

How many different five-digit number licence plates can be made if

the first-digit cannot be zero, but the repetition of digits is allowed?

How many four-digit numbers can be formed with the digits 3, 5, 7, 8, 9 which are greater than 7000, if repetition of digits is not allowed?

Since the  number has to be greater than 8000, the thousand's place can be filled by only two digits, i.e. 8 and 9.
Now, the hundred's place can be filled with the remaining 4 digits as the repetition of the digits is not allowed.
The ten's place can be filled with the remaining 3 digits.
The unit's place can be filled with the remaining 2 digits.
Total numbers that can be formed = `2xx4xx3xx2=48`