Question

Suppose we want to choose 5 letters, without replacement, from 16 distinct letters.
(a) If the order of the choices is taken into consideration, how many ways can this be done?
(b) If the order of the choices is not taken into consideration, how many ways can this be done?

1. minhkhang
The number of possible ways to choose according to the conditions given in each case are;
a). 524,160 ways
b). 4,368 ways

### What is the number of possible ways to choose according to the conditions given in each case?

a). In the event that the order of the choice is taken into consideration, it follows that the number of possible choices can be determined by means of the permutation formula and is; 16P5.
= 16P5 = 16!/(16-5)!
= 524,160.
b). In the event that the order of the choice is not taken into consideration, it follows that the number of possible choices can be determined by means of the combination formula and is; 16C5.
16C5 = 16!/(16-5)! 5!
= 4,368.
Read more on permutation and combination;
#SPJ1