Number of $6$-digit telephone numbers, which can be constructed with digits $0,1,2,3,4,5,6,7,8,9$, if each number starts with $35$ and no digit appears more than once is

A

$1680$

B

$8!$

C

$6!$

D

$6×6!$

Medium

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Solution

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Correct option is A)

We can see that the first two digit are fixed so we are free to allot digits only for the remaining 4 spots left in the six digit number hence it is $_{8}P_{4}$ = 1680 .