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If the word MONOS is permuted then the probability that O’s never come
together?

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TCS Other Question

Abhishek start s to paint a f ence on o ne day. On the seco nd day, two mo re friend of
Abhishek joins him. On the thir d day 3 mo re fr iends of him jo in him and so on. If the
fenc e is c ompletely paint ed this way in exactly 20 day s, then find the number of ways
in whic h 10 girls painting together can paint the fence c ompletely. Given that every
girl can paint twice as fast as Abhishek and his friends (Boys)? (Assume that the
friends of Abhis hek are all boys)
If 28a+30b+31c=365 ,find the values of a+b+c if a, b, c are naturals numbers.
a) 4.
b) 12.
c) 10.
d) Cannot be determined.