Question

Suppose we want to choose 5 objects,without replacement from 16 distinct objects

Answer 1

Answer:

4368 ways

Step-by-step explanation:

We want to choose 5 objects,without replacement from 16 distinct objects.

We can use combination in this case. The formula for the combination is given by :

$_{n}C_r=\dfrac{n!}{r!(n-r)!}$

We have, n = 16 and r = 5

So,

$_{16}C_5=\dfrac{16!}{5!(16-5)!}\\\\_{16}C_5=\dfrac{16!}{5!11!}\\\\=4368$

So, there are 4368 ways in which we want to choose  5 objects,without replacement from 16 distinct objects.