In a box, there are $100$ tickets numbered $1,\cdots, 100$. Let five tickets are taken out randomly one by one and kept in same order. Let $x_1, x_2, x_3, x_4,x_5$ be the numbers on the tickets $1,2,3,4,5$ respectively. Find the probability $$ a) P(x_1<x_2<x_3<x_4<x_5)?$$ $$ b) P(x_1<x_2<x_3>x_4>x_5)? $$ I am facing hard time solving this problem. If anyone helps that is well appreciated.
2026-04-08 00:43:01.1775608981
Finding Probability of on arrangement
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