# Recent questions tagged inclusion-exclusion 1 vote
1
The number of positive integers not exceeding $100$ that are either odd or the square of an integer is _______ $63$ $59$ $55$ $50$
2
The number of integers between $1$ and $500$(both inclusive) that are divisible by $3$ or $5$ or $7$ is _________. $269$ $270$ $271$ $272$
3
How many bit strings of length ten either start with a $1$ bit or end with two bits $00$ ? $320$ $480$ $640$ $768$
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?
5
I think the correct answer must be (C). Please let me know what's correct. Inclusion-exclusion principle is used.
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?
7
Find the number of primes less than 200 using the principle of inclusion–exclusion.
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 .
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?