Assignment:
For each of the following, express your results in two ways: 1st, using the nPr or nCr notation, whichever is appropriate; 2nd, giving the numerical value:
a) The number of permutations of 8 objects taken 3 at a time
b) The number of combinations of 7 objects taken 5 at a time
Provide complete and step by step solution for the question and show calculations and use formulas.