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Define and what Cryptography in mathematical foundations of computer science
Define and what Cryptography in mathematical foundations of computer science
How many students are offering both biology and chemistry,if only 70 students are offering neither biology or chemistry.
A person has 8 children of them he takes 3 at a time to a circus. He does not take
the same three children twice to the circus. How many times he will have to go
to circus to ensure that every three children have seen the circus together? In
this case find the number of times a particular child has visited the circus.
From 8 men and 4 women and team of 5 is to be formed. In how many ways can
this be done so as to include at least one woman?
group of 30 people have been trained as astronauts to go on the first mission
to Mars. How many ways are there to select a crew of six people to go on this
mission (assuming that all crew members have the same job)?
In how many ways can 20 students out of a class of 32 be chosen to attend class
on a late Thursday afternoon (and take notes for the others) if
(a) Paul refuses to go to class?
(b) Michelle insists on going?
(c) Jim and Michelle insist on going?
(d) either Jim or Michelle (or both) go to class?
(e) just one of Jim and Michelle attend?
(f) Paul and Michelle refuse to attend class together?
Wandana is going to toss a coin eight times. In how many ways can she get five
heads and three tails
Suppose that a saleswoman has to visit eight different cities. She must begin her
trip in a specified city, but she can visit the other seven cities in any order she
wishes. How many possible orders can the saleswoman use when visiting these
cities?
In how many ways can 10 different examination papers be scheduled so that
(i) the best and the worst always come together?
(ii) the best and the worst never come together?
