Question

How many 5 digit telephone numbers can be formed using the digits 0 to 9, if each number starts with 65 and no digit appear more than once?

Answer 1

$5$ Digit telephone number

$0,1,2,3,4,5,6,7,8,9$

Number of ways of filling $3$ more numbers of $8$ available digits

${\Rightarrow }^8{C}_3\times 3!\Rightarrow \frac{8!\times 3!}{3!\times 5!}\Rightarrow 8\times 7\times 6\Rightarrow 56\times 6\Rightarrow 336$

Hence the correct answer is $=336$ Ways