Question

ᴀ ᴍᴏʙɪʟᴇ ɴᴜᴍʙᴇʀ ᴄᴏɴsɪsᴛs ᴏғ ᴛᴇɴ ᴅɪɢɪᴛs .ғɪʀsᴛ ғᴏᴜʀ ᴅɪɢɪᴛs ᴀʀᴇ 9,9,7, ᴀɴᴅ 9 . ᴍᴀᴋᴇ ᴛʜᴇ sᴍᴀʟʟᴇsᴛ ᴍᴏʙɪʟᴇ ɴᴜᴍʙᴇʀ ʙʏ ᴜsɪɴɢ ᴏɴʟʏ ᴏɴᴇ ᴅɪɢɪᴛ ᴛᴡɪᴄᴇ ғʀᴏᴍ 8,3,5,6,0​​

Answer 1

$\large\sf\underline{Given\::}$

• First four digits of a mobile number are 9 , 9 , 7 and 9 .

Numbers to be used for forming smallest mobile number :

• 8 , 3 , 5 , 6 and 0

‎

$\large\sf\underline{To\::}$

• Form the smallest mobile number

‎

$\large\sf\underline{Concept\::}$

In this question we are given the first four digits of the mobile number as 9 , 9 , 7 and 9 . We are asked to frame the smallest mobile number using only one digit twice from 8 , 3 , 5 , 6 and 0 . As we are said to form smallest number we would take 0 twice, and then arrange the other numbers in their ascending order ( smaller to larger values ) then we would get the smallest mobile number. So let's begin!

‎

$\large\sf\underline{Solution\::}$

We do know a mobile number consists of 10 digits.

So mobile number : 9979_ _ _ _ _ _

And in order to complete the mobile number we are free to use 8 , 3 , 5 , 6 and 0 , also we are using 0 twice from here .

So now arranging the numbers in the ascending order.

Ascending order of 8 , 3 , 5 , 6 and 0 = 0 , 0 , 3 , 5 , 6 and 8 [ using the smallest number i.e., 0 twice ]

Henceforth from the above evaluation the smallest mobile number is :

$\small{\underline{\boxed{\mathrm\red{9979003568}}}}$ ★

__________________________‎

!! Hope it helps !!