The question is asking 'how many different ways can we pair two diplomats to shake hand'?
The combination formula is given by:

We have n = 25 and r = 2
Substituting into the formula we have

handshakes
Answer:
11/24
Step-by-step explanation:
First find the common denominators of each fraction:
The common denominator of each fraction is 24
- 1/8 multiplied by 3 is 3/24
- 1/6 multiplied by 4 is 4/24
- 1/4 multiplied my 6 is 6/24
add these fractions up
3/24 + 4/24 + 6/24 = 13/24
subtract 24/24 - 13/24 = 11/24
Answer:
The measure of angle MNL is 
Step-by-step explanation:
see the attached figure to better understand the problem
In this problem we know that
angle GNH is congruent to angle KNL
-----> by vertical angles

so

Find the measure of angle MNL
------> by complementary angles
Substitute and solve for m<MNL


Answer:
Tina can select and answer the essay questions on her test in 35 ways.
Step-by-step explanation:
The order in which she chooses the questions is not important. For example, choosing questions 1, 3 and 7 is the same as choosing 7, 3 and 1. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

In this question:
Three questions from a set of 7. So

Tina can select and answer the essay questions on her test in 35 ways.