Answer: a) 720, b) c) 336, d) 30240 e) 120.
Step-by-step explanation:
Since we have given that
a) Number of competitors = 6
We need to find the number of ways that 6 competitors can finish a race and there are no ties.
So, Number of ways would be
b) number of people = n
Number of chairs = r (r<n)
so, the number of ways we can sit n people on r<n chairs is given by
c) If there are three awards :
Gold, silver, bronze.
We need to find the number of ways that these medals can be awarded.
Number of ways is given by
d) Number of 5-digit zip codes are possible is given by
e) Number of poeple = 10
Number of people required in committee = 3
Number of different 3 person committee that are selected from 10 people is given by
Hence, a) 720, b) c) 336, d) 30240 e) 120.
