First slide

Permutations

Question

How many different non-digit numbers can be formed from the digits of the number 223355888 by rearrangement of the digits so that the odd digits occupy even places?

Moderate

A

16
B

36
C

60
D

180

Solution

In a nine digits number, there are four even places for the four odd digits 3, 3, 5, 5.
.'. Required number of ways $= \frac{4!}{2! 2!} \cdot \frac{5!}{2! 3!} = 60$

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