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There are 6 multiple choice questions in an examination. How many sequences of answers are possible, if the first three questions have 4 choices each and the next three have 2 each?
Concept: undefined >> undefined
State whether the following statements are true or false:
The set {x ; x + 8 = 8} is the null set.
Concept: undefined >> undefined
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There are 5 books on Mathematics and 6 books on Physics in a book shop. In how many ways can a students buy : (i) a Mathematics book and a Physics book (ii) either a Mathematics book or a Physics book?
Concept: undefined >> undefined
Decide among the following sets, which are subsets of which:
\[A = {x : x \text{ satisfies } x^2 - 8x + 12 = 0},\]
\[B = \left\{ 2, 4, 6 \right\}, C = \left\{ 2, 4, 6, 8, . . . \right\}, D = \left\{ 6 \right\} .\]
Concept: undefined >> undefined
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.
Concept: undefined >> undefined
Write which of the following statement are true? Justify your answer.
The set of all crows is contained in the set of all birds.
Concept: undefined >> undefined
Write which of the following statement are true? Justify your answer.
The set of all rectangle is contained in the set of all squares.
Concept: undefined >> undefined
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.
Concept: undefined >> undefined
Write which of the following statement are true? Justify your answer.
The sets P = {a} and B = {{a}} are equal.
Concept: undefined >> undefined
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.
Concept: undefined >> undefined
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?
Concept: undefined >> undefined
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?
Concept: undefined >> undefined
Twelve students complete in a race. In how many ways first three prizes be given?
Concept: undefined >> undefined
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}?
Concept: undefined >> undefined
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?
Concept: undefined >> undefined
How many three-digit numbers are there with no digit repeated?
Concept: undefined >> undefined
How many three-digit numbers are there?
Concept: undefined >> undefined
How many three-digit odd numbers are there?
Concept: undefined >> undefined
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,
Concept: undefined >> undefined
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?
Concept: undefined >> undefined
