## BDMO 2016 6No

For students of class 6-8 (age 12 to 14)
siwomcre
Posts: 7
Joined: Wed Dec 21, 2016 5:00 pm

### BDMO 2016 6No

A mobile company uses only the digits 0, 1 and 2 to make their mobile cards. If
the mobile cards are of 6 digits, then how many cards can they supply to the
market?

Plz can anyone give the solution?
Explanation of the solution would help much

Absur Khan Siam
Posts: 53
Joined: Tue Dec 08, 2015 4:25 pm
Location: Bashaboo , Dhaka

### Re: BDMO 2016 6No

As the mobile card number contains \$6\$ digits , for every digit there will be three options. So the total number will be \$3^6 = 729\$.
"(To Ptolemy I) There is no 'royal road' to geometry." - Euclid

SMMamun
Posts: 49
Joined: Thu Jan 20, 2011 6:57 pm

### Re: BDMO 2016 6No

Imagine there are exactly 6 (blank) circles drawn on each mobile card, and exactly one digit is printed inside each circle to make a particular card number. In how many ways can you fill the 1st circle, the 2nd circle, and so on?

siwomcre
Posts: 7
Joined: Wed Dec 21, 2016 5:00 pm

### Re: BDMO 2016 6No

SMMamun wrote:Imagine there are exactly 6 (blank) circles drawn on each mobile card, and exactly one digit is printed inside each circle to make a particular card number. In how many ways can you fill the 1st circle, the 2nd circle, and so on?
60466176

SMMamun
Posts: 49
Joined: Thu Jan 20, 2011 6:57 pm

### Re: BDMO 2016 6No

@ siwomcre, what is the result if you can use only the digits 0, 1 and 2 (NOT ALL of 0 – 9) in the circles?

siwomcre
Posts: 7
Joined: Wed Dec 21, 2016 5:00 pm

### Re: BDMO 2016 6No

SMMamun wrote:@ siwomcre, what is the result if you can use only the digits 0, 1 and 2 (NOT ALL of 0 – 9) in the circles?
in each circle i can fill up any of the 3 digits 0,1,2
Then it would 729

aritra barua
Posts: 48
Joined: Sun Dec 11, 2016 2:01 pm

### Re: BDMO 2016 6No

We may consider a 6 digit number abcdef and place each of the numbers in the respective positions.In that case,we may find that the number of 6 digit numbers are 2*3*3*3*3*3 as we cannot place 0 in the position a.So there are 486 cards,we can make