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Sixteen children are trying to decide which two children will win the
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06 Oct 2021, 09:13
06 Oct 2021, 09:13
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Question Stats:
76% (00:45) correct
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Sixteen children are trying to decide which two children will win the president and vice-president positions in the class. Each child can and will cast a vote for anyone in the class. If each child in the class is eligible for a position, how many different outcomes are there of the election?
A. 15
B. 30
C. 60
D. 120
E. 240
A. 15
B. 30
C. 60
D. 120
E. 240
Sixteen children are trying to decide which two children will win the
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06 Oct 2021, 09:21
06 Oct 2021, 09:21
1
Solution:
No. of ways a president can be select is 16. As, there are 16 children from whom a president can be selected. Thus, 16 ways
No. of ways a vice-president can be selected is 15. As one child is already selected as the president. Thus 15 children are left.
Therefore, Number of different outcomes to select President and vice-president= 16x15=240 ways.
IMO E
Hope this helps!
No. of ways a president can be select is 16. As, there are 16 children from whom a president can be selected. Thus, 16 ways
No. of ways a vice-president can be selected is 15. As one child is already selected as the president. Thus 15 children are left.
Therefore, Number of different outcomes to select President and vice-president= 16x15=240 ways.
IMO E
Hope this helps!
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Sixteen children are trying to decide which two children will win the
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06 Oct 2021, 09:24
06 Oct 2021, 09:24
1
Carcass wrote:
Sixteen children are trying to decide which two children will win the president and vice-president positions in the class. Each child can and will cast a vote for anyone in the class. If each child in the class is eligible for a position, how many different outcomes are there of the election?
A. 15
B. 30
C. 60
D. 120
E. 240
A. 15
B. 30
C. 60
D. 120
E. 240
Take the task of selecting a president and vice-president, and break it into stages.
Stage 1: Select someone to be president.
There are 16 children to choose from, so we can complete stage 1 in 16 ways
Stage 2: Select someone to be vice-president.
Once a child has been selected to be president, that child cannot also be vice-president.
So, there are 15 remaining children to choose from, so we can complete stage 2 in 15 ways
By the Fundamental Counting Principle (FCP), we can complete the 2 stages (and thus select a president and vice-president) in (16)(15) ways (240 ways)
Answer: E
Note: the FCP can be used to solve the MAJORITY of counting questions on the GRE so be sure to learn it.
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