## Quant Question Of The Day: 37

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# Counting

How many 5 digit numbers start with a prime number and end with a prime number? Further no other digit in the number is a prime number. Also, no two digits of the 5 digit number are same .

A. 1440

B. 720

C. 360

D. 120

option C.

Option A

1440

First digit options: 4 (2/3/5/7)

Last digit options: 3 since no repetition.

Middle 3 digits can’t be prime so, options 6 (0/1/4/6/8/9)

So 4*6*5*4*3=1440

4

Option A. 1440

A

A