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Recent questions tagged inclusion-exclusion

1 vote
3 answers
1
The number of positive integers not exceeding $100$ that are either odd or the square of an integer is _______ $63$ $59$ $55$ $50$
asked Nov 20, 2020 in Set Theory & Algebra jothee 240 views
2 votes
2 answers
3
How many bit strings of length ten either start with a $1$ bit or end with two bits $00$ ? $320$ $480$ $640$ $768$
asked Jul 2, 2019 in Combinatory Arjun 1.3k views
0 votes
2 answers
4
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?
asked May 24, 2019 in Combinatory aditi19 237 views
0 votes
0 answers
5
I think the correct answer must be (C). Please let me know what's correct. Inclusion-exclusion principle is used.
asked Oct 29, 2018 in Combinatory Ayush Upadhyaya 102 views
0 votes
0 answers
6
$N$ 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?
asked Oct 4, 2018 in Probability srestha 187 views
0 votes
0 answers
8
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 .
asked Sep 22, 2018 in Combinatory sushmita 386 views
0 votes
4 answers
9
In how many different ways can seven different jobs be assigned to four different employees so that each employee is assigned at least one job and the most difficult job is assigned to the best employee? I got the first point that we need to find out the number of ... elements to a set with 4 elements. But how to deal with the second part that most difficult job is assigned to the best employee?
asked Jun 28, 2018 in Combinatory Ayush Upadhyaya 450 views
0 votes
0 answers
11
How many bit strings of length eight contain either three consecutive 0s or four consecutive 1s?
asked May 26, 2017 in Combinatory Ishan 189 views
2 votes
2 answers
12
how many positive integers between 50 and 100, (a) divisible by 7 (b) divisible by 11 (c) divisible by 7 and 11?
asked May 7, 2017 in Combinatory Lakshman Patel RJIT 370 views
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