a.For the 2019 Comrades marathon, 17268 men and 4357 women entered, 15835 men and 3982 women started the race, and 13384 men and 3055 women completed the race within the cut-off time. The silver medal was awarded to 541 men and 20 women. If only a quarter of the men athletes (rounded to the nearest integer) and all the women athletes who received silver medals are taken into account, how many different possibilities for the men and women combined, may a first, second and third place be awarded to the men and to the women? Give the answer as an integer.
a.For the 2019 Comrades marathon, 17268 men and 4357 women entered, 15835 men and 3982 women started the race, and 13384 men and 3055 women completed the race within the cut-off time. The silver medal was awarded to 541 men and 20 women. If only a quarter of the men athletes (rounded to the nearest integer) and all the women athletes who received silver medals are taken into account, how many different possibilities for the men and women combined, may a first, second and third place be awarded to the men and to the women? Give the answer as an integer.
b.If bonus prizes are awarded to 5 men athletes and 3 women athletes who have received silver medals, in how many different ways can it be awarded? Give the answer as an integer.
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