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Recent questions tagged inclusion-exclusion

3 votes
3 answers
3
UGC NET CSE | October 2020 | Part 2 | Question: 1
The number of positive integers not exceeding $100$ that are either odd or the square of an integer is _______ $63$ $59$ $55$ $50$
The number of positive integers not exceeding $100$ that are either odd or the square of an integer is _______$63$$59$$55$$50$
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1 votes
4 answers
4
NIELIT 2017 DEC Scientist B - Section B: 46
The number of integers between $1$ and $500$(both inclusive) that are divisible by $3$ or $5$ or $7$ is _________. $269$ $270$ $271$ $272$
The number of integers between $1$ and $500$(both inclusive) that are divisible by $3$ or $5$ or $7$ is _________.$269$$270$$271$$272$
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3 votes
2 answers
5
UGC NET CSE | June 2019 | Part 2 | Question: 3
How many bit strings of length ten either start with a $1$ bit or end with two bits $00$ ? $320$ $480$ $640$ $768$
How many bit strings of length ten either start with a $1$ bit or end with two bits $00$ ?$320$$480$$640$$768$
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1 votes
2 answers
6
Rosen 7e Exercise-8.5 Question-15 page no-558 Inclusion-Exclusion
How many permutations of the 10 digits either begin with the 3 digits 987, contain the digits 45 in the fifth and sixth positions, or end with the 3 digits 123?
How many permutations of the 10 digits either begin with the 3 digits 987, contain the digits 45 in the fifth and sixth positions, or end with the 3 digits 123?
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0 votes
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7
Combinatorics
I think the correct answer must be (C). Please let me know what's correct. Inclusion-exclusion principle is used.
I think the correct answer must be (C). Please let me know what's correct.Inclusion-exclusion principle is used.
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8
Inclusion-Exclusion
$N$ people toss their hat into a bin, randomly shuffled, returned one hat to each person. What is the probability that $5$th person got his own hat?
$N$ people toss their hat into a bin, randomly shuffled, returned one hat to each person. What is the probability that $5$th person got his own hat?
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10
inclusion exclusion principle
In how many ways can we arrange the letters in the word '' ARRANGEMENT" such that 1.) there are exactly 2 consecutive same letters . 2.) atleast 3 consecutive same letters .
In how many ways can we arrange the letters in the word '' ARRANGEMENT" such that1.) there are exactly 2 consecutive same letters .2.) atleast 3 consecutive same letters ...
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13
Discrete Mathematics and its applications - Kenneth Rosen, Counting - Basics of Counting - Exercise 51
How many bit strings of length eight contain either three consecutive 0s or four consecutive 1s?
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2 votes
2 answers
14
Discrete Mathematics Thegatebook
how many positive integers between 50 and 100, (a) divisible by 7 (b) divisible by 11 (c) divisible by 7 and 11?
how many positive integers between 50 and 100,(a) divisible by 7(b) divisible by 11(c) divisible by 7 and 11?
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