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If we consider all possibilities of words from the letters of MONOS, then what is the probability that O’s never come together

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TCS Other Question

In a staircase, there are 10 steps. A child is attempting to climb the staircase. Each time, she can either make 1 step or 2 steps. In how many different ways can she climb the stair case?
a. 10 b. 21 c. 36 d. None of these.
what is the remainder when 50! Divided by 47^2.