Question

In how many ways first and second rank in mathematics, first and second rank in physics, first rank in chemistry, and first rank in English be given away to a class of 30 students.

Answer 1

first position=4 prizes
second position=2 prizes
`1^(st)` prizes=`30*30*30*30=30^4`
`2^(nd)` prizes=`29*29=29^2`
Total ways`=30^4*29^2`.