Number of 6-digit telephone numbers- which can be constructed with digits 0- 1- 2- 3- 4- 5-6- 7- 8- 9- each number starts with 35 and no digit appears than once is16808-6-6times6-

Question

Toppr Admin · Accepted Answer

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 8P4 - -xA0-1680 -

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
$1680$
$8!$
$6!$
$6 \times 6!$

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 .

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 is16808!6!6×6!

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 8P4 = 1680 .

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
$1680$
$8!$
$6!$
$6 \times 6!$

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 .