Latest CAT Aptitude Question SOLUTION: Let S be the set of five digit numbers formed by the digits 1, 2, 3, 4 and 5, using each digit exactly once such that exactly two odd positions are occupied by odd digits. What is

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(#M40029272) CAT question CAT quant Keep an EYE

Let S be the set of five digit numbers formed by the digits 1, 2, 3, 4 and 5, using each digit exactly once such that exactly two odd positions are occupied by odd digits. What is the sum of the digits in the rightmost position of the numbers in S?
(1) 228
(2) 216
(3) 294
(4) 192

Asked In CAT (10 years ago)

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vasuki  (9 years ago)

3c2*3p2*2c1*2!=74
end (3) odd so=74/3=24*3=72
72*3=216

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Gaurav kumar  (8 years ago)

question may be number of digits formed
each odd digit may be 3*2=6(Select two odd from three and arrange them)
and arrange them is 3 ways
so one odd digit must be even so select one odd place from three places is 3 and two select one even from two is 2 so number of ways is 3*2=6
so remaining two places has two ways is 2*1=2 so 6*3*6*2=216

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