Q.

Total number of 6-digit numbers in which only one digit of 1,3,5,7 and 9 can be repeated  and all the five digits 1, 3, 5, 7 and 9 appear is:

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a

126!

b

526!

c

56

d

6!

answer is A.

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Detailed Solution

1,3,5,7,9

          For digit to repeat we have   5C1choice

          And six digits can be arrange in  62ways

          Hence total such number = 562

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Total number of 6-digit numbers in which only one digit of 1,3,5,7 and 9 can be repeated  and all the five digits 1, 3, 5, 7 and 9 appear is: