Question -
Answer -
Given:
Twelve studentscompete in a race.
Number of ways toselect the winner of the first prize is 12C1
Number of ways toselect the winner of the second prize is 11C1 (11,since one student is already given a prize)
Number of ways toselect the winner of the third prize is 10C1 (10,since two students are already given a prize)
Hence, total number ofways is 12C1 × 11C1 × 10C1 =12 × 11 × 10 = 1320.