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

Question

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Answer 1

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 .

Answer 2

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 .