Thad 21 different toys when I was little, and my mom asked me
to give 5 of my toys to my younger brother. In how many ways
can I choose the 5 toys?

Respuesta :

Answer:

20349.

Step-by-step explanation:

It is given that,

Total number of toys = 21

Number of toys to be selected = 5

Total number of ways to select 5 toys from 21 toys is

[tex]\text{Total ways}=^{21}C_5=\dfrac{21!}{5!(21-5)!}[/tex]

[tex]=\dfrac{21!}{5!(21-5)!}[/tex]

[tex]=\dfrac{21\cdot 20\cdot 19\cdot 18\cdot 17\cdot 16!}{5\cdot 4\cdot 3\cdot 2\cdot 1\cdot 16!}[/tex]

[tex]=20349[/tex]

Therefore, the required ways are 20349.