Question 1106041
{{{ 2^15 }}} is the number of possible test results
The number of test results with {{{ 5 }}} correct answers is:
C( 15,5 ) = {{{ 15! / (( 15 - 5 )! * 5! ) }}}
C( 15,5 ) = {{{ ( 15*14*13*12*11*10*9*8*7*6*5*4*3*2*1 ) / ( 10*9*8*7*6*5*4*3*2*1 )*( 5*4*3*2*1 ) }}}
C( 15,5 ) = {{{ ( 15*14*13*12*11 ) / ( 5*4*3*2*1 ) }}}
C( 15,5 ) = {{{ ( 14*13*12*11 ) / 8 }}}
C( 15,5 ) = {{{  7*13*3*11 }}}
C( 15,5 ) = {{{ 3003 }}}
{{{ 3003 / 2^15 }}}
( I lost my calculator -you can calculate )