Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 6 - Permutation and Combination>Work Book Exercise 6.6>Q 9

HARD

JEE Advanced

IMPORTANT

Earn 100

The number of integers which lie between $1$ and $10^{6}$ and which have the sum of the digits equal to $12,$ is

50% studentsanswered this correctly

Important Questions on Permutation and Combination

HARD

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 6 - Permutation and Combination>Work Book Exercise 6.6>Q 10

The number of integral solutions of

x + y + z = 0

with

x \geq - 5, y \geq - 5, z \geq - 5

is

HARD

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 6 - Permutation and Combination>Work Book Exercise 6.6>Q 11

The number of ways in which a score of

11

can be made from a throw by three persons, each throwing a single die once, is

HARD

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 6 - Permutation and Combination>Work Book Exercise 6.6>Q 12

If

x, y, z, \dots

are

(m + 1)

distinct prime numbers, then the number of factors of

x^{n} y z \dots

is

HARD

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 6 - Permutation and Combination>Work Book Exercise 6.6>Q 13

There are

m

copies of each of

n

different books in a university library. The number of ways in which one or more than one book can be selected, is

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 6 - Permutation and Combination>Work Book Exercise 6.6>Q 14

The number of ways in which one or more ball can be selected out of

10

white balls,

9

green balls and

7

blue balls, is

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 6 - Permutation and Combination>Work Book Exercise 6.6>Q 15

The number of all three elements subsets of the set

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

which contain

a_{3},

is

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 6 - Permutation and Combination>Work Book Exercise 6.6>Q 16

If one quarter of all three element subsets of the set

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

contains the element

a_{3}

, then

n

is equal to

HARD

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 6 - Permutation and Combination>Work Book Exercise 6.6>Q 17

The number of positive integral solutions of

a b c = 30

is