In how many ways, can the teacher choose 3 students in all, one each from 10 students in VI std, 15 students in VII std and 20 students in VIII std to go to an excursion?

If you have 2 school bags and 3 water bottles then, in how many different ways can you choose each one of them, while going to school ?

A safety locker in a jewel shop requires a 4 digit unique code. The code has the digits from 0 to 9. How many unique codes are possible?

Shanthi has 5 chudithar sets and 4 frocks. In how many possible ways, can she wear either a chudithar or a frock?

On sports day, students must take also part in one of the one track events 100m Running and 4 ×100 m Relay. He must take part of any of the field events Long Jump, High Jump, and Javelin Throw. In how many different ways can the student take part in the given events?

The given spinner is spun twice and the two numbers got are used to form a 2 digit number. How many different 2 digits numbers are possible?

How many possible outcomes are there in tossing a coin
 

There are 3 blue tiles  3 green tiles   and 3 red tiles  Put them together to form a square so that no two tiles of the same colour are adjacent to each other.

Use graph colouring to determine the minimum number of colours that can be used. The adjacent states should not have the same colour.
Use the graph given below such that,
(i) each state is assigned a coloured vertex.
(ii) edges are used to connect the vertices of States.