The number of ways in which the judge can choose the winner and a first runner up = 42
Step-by-step explanation:
Step 1 :
Number of competitors in the art show case = 7
We need to find the number of ways the judges can choose the winner and the first runner up.
Step 2 :
The number of ways using which the judge can choose the winner = 7
(Since there are 7 competitors)
The number of ways using which the judge can choose the first runner up = 6
(Since the winner is already chosen, the remaining number of competitors will be 7 - 1 =6)
Hence the number of ways in which the judge can choose the winner and a first runner up = 7 × 6 = 42
Step 3 :
Answer :
The number of ways in which the judge can choose the winner and a first runner up = 42
