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Question

Six-digit odd numbers, greater than 6,00,000 that can be formed using the digits 5,6,7,8,9 and 0 if repetition of digits is not allowed is :

A
60
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B
240
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C
560
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D
4×65
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Solution

The correct option is B 240

We have 6 digits, 5,6,7,8,9 and 0 and we have to form odd numbers greater than 6,00,000

The unit's place can only be filled by 5,7 or 9 since we have to form odd numbers.

The first place (lakh's position) can be occupied by the digits greater than or equal to 6.

Since, repetition is not allowed, therefore -

Digits in lakh's placeDigits in the unit's place(I)65,7,9(II)75,9(III)85,7,9(IV) 95,7

Thus the required six digit numbers possible are
(I) 4!+4!+4!
(II) 4!+4!
(III) 4!+4!+4!
(IV) 4!+4!
=10×4!=240


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