A probability problem by Soham Choudhury

Probability Level pending

Find the probability of choosing a six digit number such that each succeeding digit is greater than the preceding one.

10P3 9C3 9P3 10C3

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1 solution

Soham Choudhury
Dec 8, 2015

There are only 9 digits to choose from as 0 cannot be selected. Number of ways of doing this is 9C3. Now the selected numbers can be arranged in only 1 way so as to remain in ascending order. So number of six digit numbers satisfying given condition is 9C3x*1!=9C3

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