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Q.

If S = {1,3,5,7} then which of the following is/are true?

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a

Sum of all four digit numbers if repetition of digits is not allowed is equal to 3!.16(1111)

b

Sum of all three digit numbers if repetition of digits is not allowed is equal to 5328

c

Sum of all four digit numbers if repetition of digits is allowed is equal to 432(1111)

d

Sum of all the digits in the units place of all four digit numbers if repetition of digits is allowed is equal to 432

answer is A, B, D.

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Detailed Solution

i) (1111)(1+3+5+7)3!

 ii) (1111)(1+3+5+7)⋅33

 iii) 3P2(111)(1+3+5+7)≠5328

iv)33(1+3+5+7)=432

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