Question

suppose we want to choose 6 colors without replacement from 9 distinct colors if the order of choices is not taken into consideration how many ways can this be done and b if the order of the choices is taken into consideration how many ways can this be done

Answer 1

The first case is when the order of choices is not taken into consideration. If the order of choices is not taken into considerations then it is a case of permutations. So, the number of ways in which 6 colors can be chosen from 9 distinct colors are

The second case is when the order of choices is taken into consideration. If the order of choices is taken into considerations then it is a case of combinations. So, the number of ways in which 6 colors can be chosen from 9 distinct colors are