I.S.I. (Indian Statistical Institute) B.Stat/B.Math Entrance Examination 2013. Subjective Problem no. 4.
7.5 out of 10
[/et_pb_accordion_item][et_pb_accordion_item title="Suggested Book " open="off" _builder_version="3.23.3" title_text_shadow_horizontal_length="0em" title_text_shadow_vertical_length="0em" title_text_shadow_blur_strength="0em" closed_title_text_shadow_horizontal_length="0em" closed_title_text_shadow_vertical_length="0em" closed_title_text_shadow_blur_strength="0em"][/et_pb_accordion_item][/et_pb_accordion][et_pb_text _builder_version="3.22.4" text_font="Raleway|300|||||||" text_text_color="#ffffff" header_font="Raleway|300|||||||" header_text_color="#e2e2e2" background_color="#0c71c3" border_radii="on|5px|5px|5px|5px" box_shadow_style="preset3" custom_margin="48px||48px" custom_padding="20px|20px|20px|20px"]
Do you know what is Well-ordering principle ?it says that Every nonempty set A of nonnegative integers has a minimal element and a maximal element , which need not to be unique .now some time this simple property help us to get very nice solution to a problem , can you some how apply this property .
[/et_pb_tab][et_pb_tab title="Hint 2" _builder_version="3.22.4"]Use the method of contradiction , first of all assume that there is no player which have the given property . Now try to use the property of hint 1 .
[/et_pb_tab][et_pb_tab title="Hint 3" _builder_version="3.22.4"]If there is no such list ,A's list has the maximum no. of players Now , if A does not have the certain property then there exist another another player B , who has won against A . Now B's list contain the name of A [ by the 1st condition ]and all the names of the players defeated by A [ by the 2nd condition]
[/et_pb_tab][et_pb_tab title="Hint 4" _builder_version="3.22.4"]Now , can you find out some contradiction , yes exactly ..... B's list contain more number of element than ASo, A's list must have the certain property .
[/et_pb_tab][/et_pb_tabs][et_pb_text _builder_version="3.22.4" text_font="Raleway|300|||||||" text_text_color="#ffffff" header_font="Raleway|300|||||||" header_text_color="#e2e2e2" background_color="#0c71c3" border_radii="on|5px|5px|5px|5px" box_shadow_style="preset3" min_height="12px" custom_margin="50px||50px" custom_padding="20px|20px|20px|20px"]Indian Statistical Institute and Chennai Mathematical Institute offer challenging bachelor’s program for gifted students. These courses are B.Stat and B.Math program in I.S.I., B.Sc. Math in C.M.I.
The entrances to these programs are far more challenging than usual engineering entrances. Cheenta offers an intense, problem-driven program for these two entrances.
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