The number of ways in which first,second and | vedclass

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(B) The first prize can be awarded to any of the $5$ competitors in $5$ ways.After the first prize is awarded,the second prize can be awarded to any o

Vedclass · Accepted Answer

$60$

Vedclass · Answer

(B) The first prize can be awarded to any of the $5$ competitors in $5$ ways.After the first prize is awarded,the second prize can be awarded to any of the remaining $4$ competitors in $4$ ways.Finally,the third prize can be awarded to any of the remaining $3$ competitors in $3$ ways.Since a competitor cannot receive more than one prize,the total number of ways is calculated by the product of these choices.Total ways $= 5 	imes 4 	imes 3 = 60$ ways.

The number of ways in which first,second and third prizes can be given to $5$ competitors is

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