Alpha Question Bank for Engineering: Mathematics>Chapter 8 - Permutation and Combination>Exercise-2>Q 6

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IMPORTANT

Earn 100

$' n'$ digits positive integers formed such that each digit is $1, 2$ or $3 .$ How many of these contain all three of the digits $1, 2$ and $3$ atleast once?

33.33% studentsanswered this correctly

Important Questions on Permutation and Combination

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Alpha Question Bank for Engineering: Mathematics>Chapter 8 - Permutation and Combination>Exercise-2>Q 7

There are

' n'

straight line in a plane, no two of which are parallel and no three pass through the same point. Their points of intersection are joined. Then the maximum number of fresh lines thus introduced is

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Alpha Question Bank for Engineering: Mathematics>Chapter 8 - Permutation and Combination>Exercise-2>Q 8

X = \{1, 2, 3, 4, \dots \dots 2017\}

and

A \subset X; B \subset X; A \cup B \subset X

here

P \subset Q

denotes that

P

is subset of

Q (P \neq Q) .

Then number of ways of selecting unordered pair of sets

A

and

B

such that

A \cup B \subset X

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Alpha Question Bank for Engineering: Mathematics>Chapter 8 - Permutation and Combination>Exercise-2>Q 9

The number of ways in which

15

identical apples &

10

identical oranges can be distributed among three persons, each receiving none, one or more is

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Alpha Question Bank for Engineering: Mathematics>Chapter 8 - Permutation and Combination>Exercise-2>Q 10

Two variants of a test paper are distributed among

12

students. Number of ways of seating of the students in two rows so that the students sitting side by side do not have identical papers & those sitting in the same column have the same paper is

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Alpha Question Bank for Engineering: Mathematics>Chapter 8 - Permutation and Combination>Exercise-2>Q 11

How many ways are there to invite one of three friends for dinner on

6

successive nights such that no friend is invited more than three times?

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Alpha Question Bank for Engineering: Mathematics>Chapter 8 - Permutation and Combination>Exercise-2>Q 12

If

n

identical dice are rolled, then number of possible out comes are

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Alpha Question Bank for Engineering: Mathematics>Chapter 8 - Permutation and Combination>Exercise-2>Q 13

Number of ways in which a pack of

52

playing cards be distributed equally 'among four players so that each have the Ace, King, Queen and Jack of the same suit, is

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Alpha Question Bank for Engineering: Mathematics>Chapter 8 - Permutation and Combination>Exercise-2>Q 14

Find the total number of positive integral solutions of

15 < x_{1} + x_{2} + x_{3} \leq 20