Given:
Digits are 4,5,6,7,8 and 9.
To find:
The number of ways to form a 5 digit pin using the given digits.
Solution:
We have,
Total number of given digits = 6
Number of required digits to form a 5 digit pin = 5
Number of ways to arrange 5 digits from 6 digits is
[tex]^6P_5=\dfrac{6!}{(6-5)!}[/tex] [tex][\because ^nP_r=\dfrac{n!}{(n-r)!}][/tex]
[tex]^6P_5=\dfrac{6\times 5\times 4\times 3\times 2\times 1!}{1!}[/tex]
[tex]^6P_5=6\times 5\times 4\times 3\times 2[/tex]
[tex]^6P_5=6\times 5\times 4\times 3\times 2[/tex]
Therefore, the number of ways to form a 5 digit pin using the given digits is 720.
Answer:
the number of ways to form a 5 digit pin using the given digits is 720
Step-by-step explanation:
