Sequences and S...

How is 'vegetables are red flowers' written in this code ?

In how many ways can 3 diamond cards be drawn simultaneously from a pack of cards?

The area of triangle with vertices $$A(5,\,0),\,B(8,\,0)$$ and $$C(9,\,5)$$ is

A researcher plans to identify each participant in a $$174$$ certain medical experiment with a code consisting of either a single letter or a pair of distinct letters written in alphabetical order. What is the least number of letters that can be used if there are $$12$$ participants,and each participant is to receive a different code?

The area of triangle with vertices $$A(0,\,9),\,B(0,\,4)$$ and $$C(-5,\,-9)$$ is

Complete the pattern: $$3, 5, 8, 13,$$ ___ 

Find the next number of the series.
$$7, 10, 8, 11, 9, 12,....$$

There are 8 teams in a certain league and each team plays each of the other teams exactly once. If each game is played by 2 teams, what is the total number of games played? 

Look at this series: $$32, 31, 33, 32, 34, 33,...$$. What is the next number?

Find the value of $$'?'$$ in the series: $$12, 17, 15, ?, 18, 23, 21,....$$