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In how many ways can the following prize...

In how many ways can the following prizes be given away to a class of 20 students:
first and second in mathematics,l first and second in chemistry, first in physics and first in English?

Text Solution

Verified by Experts

The correct Answer is:
57760000
1st and 2nd prizes in mathematics can be given in `(20xx19)` ways,
1st and 2nd prizes in chemistry can be given in `(20xx19)` ways,
1st prize in physics can be given in 20 ways,
1st prize in English can be given in 20 ways.
Required number of ways in all `=(20xx19) xx (20xx19) xx20xx20=57760000.`
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