Correct Answer - (i) 24 (ii) 64 (iii) 60
(i) The 1st prize can be given to anyone of the 4 girls in 4 ways.
Similarly, the second prize can be given in 3 ways and the 3rd prize can be given in 2 ways.
`therefore " the required number of ways"=(4xx3xx2)=24.`
(ii) 1st prize can be given in 4 ways, 2nd prize can be given in 4 ways and the 3rd prize can be given in 4 ways.
`therefore " the required number of ways"=(4xx4xx4)=64.`
(iii) Number of ways in which a girl does not get all the prizes = (number of ways in which a girl may get any number of prizes) - (number of ways in which a girl gets all the prizes)
`=(64-4)=60.`
