EASY

JEE Advanced

IMPORTANT

Earn 100

A class has $21$ students. The class teacher has been asked to make $n$ groups of $r$ students each and go to zoo taking one group at a time. The size of group zoo i.e., the value of $r$ ) for which the teacher goes to the maximum number of times is (no group can go to the zoo twice)

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Important Questions on Permutation and Combination

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 6 - Permutation and Combination>Target Exercises>Q 69

A class has

n

students. We have to form a team of the students including at least two students and also excluding at least two students. The number of ways of forming the team is

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 6 - Permutation and Combination>Target Exercises>Q 70

From

4

Gentlemen and

6

Ladies, a committee of five is to be selected. The number of ways, in which the committee can be formed so that Gentlemen are in majority, is

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 6 - Permutation and Combination>Target Exercises>Q 71

If the total number of

m

elements subsets of the set

A = \{a_{1}, a_{2}, a_{3}, \dots, a_{n}\}

k

times the number of

m

elements subsets containing

a_{4},

then

n

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 6 - Permutation and Combination>Target Exercises>Q 72

An urn contains

3

red pens,

4

green pens and

6

yellow pens. The number of ways of drawing

4

pens from the urn, if at least one red pen is to be included in the draw, is (all the pens are different from each other)

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 6 - Permutation and Combination>Target Exercises>Q 73

Two numbers are chosen from

1, 3, 5, 7, \dots, 147, 149

and

151

and multiplied together in all possible ways. The number of ways which will give us the product

a

multiple of

5,

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 6 - Permutation and Combination>Target Exercises>Q 74

Let

T_{n}

denotes the number of triangles which can be formed using the vertices of a regular polygon of

n

sides. If

T_{n + 1} - T_{n} = 21

, then

n

equals

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 6 - Permutation and Combination>Target Exercises>Q 75

If a polygon has

44

diagonals, then the number of its sides are

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 6 - Permutation and Combination>Target Exercises>Q 76

The sides

A B, B C, C A

of a

Δ A B C

have

3, 4, 5

interior points, respectively on them. Total number of triangles that can be formed using these points as vertices, is equal to

A class has 21 students. The class teacher has been asked to make n groups of r students each and go to zoo taking one group at a time. The size of group zoo i.e., the value of r) for which the teacher goes to the maximum number of times is (no group can go to the zoo twice)

Important Questions on Permutation and Combination

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A class has $21$ students. The class teacher has been asked to make $n$ groups of $r$ students each and go to zoo taking one group at a time. The size of group zoo i.e., the value of $r$ ) for which the teacher goes to the maximum number of times is (no group can go to the zoo twice)