Permutation and CombinationHard

Question

How many dofferent nine digit numbers can be formed form the number 22 33 55 888 by rearranging its digis so that the odd digits occupy even positions

Options

A.16
B.63
C.60
D.180

Solution

X - X - X - X - X. The four digits 3, 3, 5, 5, czn be arraged at (-) places in = 6 ways.
The five digits 2,2, 8, 8, 8, can be arranged at (X) places in ways = 10 ways.
Total number of arrangements = 6 × 10 = 60 ways
(Since, event A and B are independent, therefore AB = A × B).

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