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Statement-1: If f:{a_(1),a_(2),a_(3),a_(4),a_(5)}to{a_(1),a_(2),a_(3),a_(4),a_(5)}, f is onto and f(x)nex for each xin {a_(1),a_(2),a_(3),a_(4),a_(5)}, is equal to 44. Statement-2: The number of derangement for n objects is n! sum_(r=0)^(n)((-1)^(r))/(r!). |
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Answer» Statement-1 is true, statement-2 is true, statement-2 is a correct explanation for statement-1 `thereforeD_(5)=5!(1-(1)/(1!)+(1)/(2!)-(1)/(3!)+(1)/(4!)-(1)/(5!))` `=120((1)/(2)-(1)/(6)+(1)/(24)-(1)/(120))` `=6-20+5-1` `=65-21` =44 Hence, statement-1 is true, statement-2 is true and statement-2 is a correct explanation for statement-1. |
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