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Home / Doubts and Solutions/MAHARASHTRA OLD/Class 12 Science/Mathematics

how many 4 didgit numbers not exceedind 4321 can be formed with the digits 1,2,3,4 if the repetition of digits in a number is not allowed?

Asked by yogeshkumar pathak 17th February 2016, 3:41 PM
Answered by Expert
Answer:

begin mathsize 11px style If space repetition space of space numbers space is space not space allowed comma space the space greatest space number space that space can space be space formed space using space digits space 1 comma space 2 comma space 3 space and space 4 space is space 4321. So space all space numbers space formed space by space 1 comma space 2 comma space 3 space and space 4 comma space without space repetition comma space will space satisfy space the space given space condition. Hence comma space total space number space of space 4 minus digit space numbers equals 4 cross times 3 cross times 2 cross times 1 equals 24 space left parenthesis using space multiplication space principle space of space counting right parenthesis space end style

Answered by Expert 17th February 2016, 6:01 PM
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