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

If A, B, C are three sets such that \[A \subset B\]then prove that \[C - B \subset C - A\] 

The number of words from the letters of the word 'BHARAT' in which B and H will never come together, is

For any two sets A and B, prove that \[\left( A \cup B \right) - B = A - B\]

The number of six letter words that can be formed using the letters of the word "ASSIST" in which S's alternate with other letters is

For any two sets A and B, prove that \[A - \left( A \cap B \right) = A - B\] 

For any two sets A and B, prove that \[A - \left( A - B \right) = A \cap B\]

The number of arrangements of the word "DELHI" in which E precedes I is

For any two sets A and B, prove that

\[A \cup \left( B - A \right) = A \cup B\]

For any two sets A and B, prove that \[\left( A - B \right) \cup \left( A \cap B \right) = A\]

The number of ways in which the letters of the word 'CONSTANT' can be arranged without changing the relative positions of the vowels and consonants is

If A and B are two sets such that \[n \left( A \cup B \right) = 50, n \left( A \right) = 28 \text{ and } n \left( B \right) = 32\]\[n \left( A \cap B \right)\]

If P and Q are two sets such that P has 40 elements, \[P \cup Q\]has 60 elements and\[P \cap Q\]has 10 elements, how many elements does Q have? 

In a school there are 20 teachers who teach athematics or physics. Of these, 12 teach mathematics and 4 teach physics and mathematics. How many teach physics? 

In a group of 70 people, 37 like coffee, 52 like tea and each person likes at least one of the two drinks. How many like both coffee and tea? 

The number of ways to arrange the letters of the word CHEESE are

Number of all four digit numbers having different digits formed of the digits 1, 2, 3, 4 and 5 and divisible by 4 is

If the letters of the word KRISNA are arranged in all possible ways and these words are written out as in a dictionary, then the rank of the word KRISNA is

Let A and B be two sets such that :\[n \left( A \right) = 20, n \left( A \cup B \right) = 42 \text{ and } n \left( A \cap B \right) = 4\] Find\[n\left( B \right)\]

In a group of 950 persons, 750 can speak Hindi and 460 can speak English. Find: 

how many can speak both Hindi and English: 

If in a group of n distinct objects, the number of arrangements of 4 objects is 12 times the number of arrangements of 2 objects, then the number of objects is