JEE Advanced Mathematics question

In the decimal system of numeration the number of 6-digit numbers in which the digit in any place is greater than the digit to the left of it is

(A)210
(B)84Correct
(C)126
(D)none of these

Answer: (B)

Solution

The digits strictly increase from left to right, so they are all different. The digit 0 cannot appear: it would be the smallest digit and so would have to be in the

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Question ID VK-108167