Combinatorics | Number Theory Answers

Program Cost $14,000 $13,000 $14,500 $16,000
Administration Fee $145 $170 $140 $130
HR Staff Needed 3 4 4 3
Hours to Complete Training 25 28 25 30
A human resource manager is considering replacing a traditional training program with a new
virtual training program for 10 new employees. The salary of the human resource (HR) staff is
$20 per hour, and the salary of new employees is $12.50 per hour.
Assuming the quality of programs is equal, which is the most cost efficient?

n a group of 50 people, 35 speak Hindi, 25 speak both English and Hindi and all the people speak at least one of the two languages. How many people speak only English and not Hindi ? How many people speak English?

You have five friends. In how many ways can you invite
them ?
a) 51 b) 36
c) 25 d) none of these.

In an examination a minimum is to be secured in each of the 5 subjects for a pass. In how many ways can a candidate fail?

at movie festival,a team of judges is to pick first second and third place winners from ten people?how many pssibilities are?

A group consists of 4 men and 7 women. In how many ways can a team of 5 be selected, if the team has atleast 3 women?

How many numbers can be formed using 0, 3, 5, 6 and 7 which are less than 1000 and divisible by 5?

If p is a prime greater than 5, what are the possible values of p modulo 6?

Make a formal definition of isomorphism of BIBDs D1 = (V1; B1) and D2 =
(V2; B2).

Show that k|v is necessary to form a (v, k, lenda)-design