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
BDMO 2016 6No
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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
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?
Re: BDMO 2016 6No
60466176SMMamun 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?
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?
Re: BDMO 2016 6No
in each circle i can fill up any of the 3 digits 0,1,2SMMamun 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?
Then it would 729
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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