Q. 175.0( 1 Vote )

# How many numbers

The table shows the places where the odd digits can be placed

There are 4 places

And 3 odd digits out of which 2 are of the same kind

Choose any 3 places out of the four places in 4C3 ways = 4 ways

In each way, the 3 digits can be placed in ways = 3 ways

total number of ways in which odd digits occupy odd places = = 12

Now there are 4 remaining digits out of which 2 are same of 1 kind, and 2 are same as another kind

they can be arranged in the remaining places in = 6 ways

total number of numbers where odd digit occupies odd places = 12 × 6 = 72

There are 72 such numbers

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