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18 Dec 2025, 04:00
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Total number of people = 120
120 people ranked A, B and C from most favorite to least favorite and we need to find how many people ranked B last
So,
First place rankings:
Ranked A first = (3/10)*120 = 36
Ranked B first = (11/30)*120 = 44
Ranked C first = 120 - 36 - 44 = 40
From Ranked A first, for the below rankings :
A-B-C = (2/3)*36 = 24
A-C-B = 36 - 24 = 12.
12 people ranked B last
From Ranked C first, for the below rankings:
C-B-A = (3/4)*40 = 30
C-A-B = 40 - 30 = 10
10 people ranked B last
From Ranked B first, no one can be ranked B last
Therefore,
Total number of people who were ranked B last = 12 + 10 = 22
D. 22
120 people ranked A, B and C from most favorite to least favorite and we need to find how many people ranked B last
So,
First place rankings:
Ranked A first = (3/10)*120 = 36
Ranked B first = (11/30)*120 = 44
Ranked C first = 120 - 36 - 44 = 40
From Ranked A first, for the below rankings :
A-B-C = (2/3)*36 = 24
A-C-B = 36 - 24 = 12.
12 people ranked B last
From Ranked C first, for the below rankings:
C-B-A = (3/4)*40 = 30
C-A-B = 40 - 30 = 10
10 people ranked B last
From Ranked B first, no one can be ranked B last
Therefore,
Total number of people who were ranked B last = 12 + 10 = 22
D. 22
18 Dec 2025, 04:37
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3/10 ranked 'A' first = 36
11/30 ranked 'B' first = 44
Rest ranked C first = 40
Within A we have
ABC = 24
ACB = 12
Within C we have
CBA = 30
CAB = 10
People who ranked 'B' last would be ACB + CAB = 12 + 10 = 22
Option D
11/30 ranked 'B' first = 44
Rest ranked C first = 40
Within A we have
ABC = 24
ACB = 12
Within C we have
CBA = 30
CAB = 10
People who ranked 'B' last would be ACB + CAB = 12 + 10 = 22
Option D
Bunuel
18 Dec 2025, 04:46
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A=3/10=>36/120
B= 11/30=>44/120
Hence C= {120-(36+44)}/120=>40/120
Of A, 2/3 ranked B second = 24/120
Of C, 3/4 ranked B second= 30/120
Third rank to C= 120- all rank 1- all rank 2
=> 120-44-24-30=
22 is the Answer
B= 11/30=>44/120
Hence C= {120-(36+44)}/120=>40/120
Of A, 2/3 ranked B second = 24/120
Of C, 3/4 ranked B second= 30/120
Third rank to C= 120- all rank 1- all rank 2
=> 120-44-24-30=
22 is the Answer
Bunuel
