 All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars  perplexus dot info  Greatest Root Difference (Posted on 2011-05-25) (A) Determine the probability that for the value of a base ten positive integer M drawn at random between 11(base ten) and 10,000(base ten) inclusively, the base ten number [√M] - [3√M] is equal to the product of the digits of M.

(B) Determine the probability that for the value of a duodecimal (base 12) positive integer N drawn at random between 11(duodecimal) and 10,000(duodecimal) inclusively, the duodecimal number [√N] - [3√N] is equal to the product of the digits of N.

(C) Determine the probability that for the value of a hexadecimal (base 16) positive integer P drawn at random between 11(hexadecimal) and 10,000(hexadecimal) inclusively, the hexadecimal number [√P] - [3√P] is equal to the product of the digits of P.

Notes:

(i) None of M, N and P can contain any leading zero.

(ii) [x] denotes the greatest integer ≤ x.

 No Solution Yet Submitted by K Sengupta No Rating Subject Author Date computer solutions Charlie 2011-05-25 19:16:27 Please log in:

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