The number of ways in which the five digits 1, 2, 3, 4, 5 can be arranged to make a number greater than 10000 such that the odd digits are in the ascending order, is

JEE Advanced Mathematics question

The number of ways in which the five digits can be arranged to make a number greater than such that the odd digits are in the ascending order, is

(A)
(B)Correct
(C)
(D)

Answer: (B)

Solution

Every arrangement of the five digits is a 5-digit number with nonzero first digit, so it is automatically greater than . Among the arrangements, the three odd digits occupy some three places in each of possible orders, of which exactly one is ascending. Hence the count

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Question ID VK-110024