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How many 5 digit numbers exist having exactly two 4s in them? 1) 6804 2) 5427 3) 3888 4) 1377
Read Solution (Total 2)
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- the five digit number can be represented as xxxx out of these 4s can appear in any two positions
zero cant appear in first position so when 4 does not occupy first position ,it can occupy any other four positions.the number of posibilities is=4C2*8*9*1*1=3888
when 4 appears in the first position four occupy any of the other four positions.
the number of posibilities is 4C1*9*9*9*1=2916
total numbers=2916+3888=6804 - 10 years agoHelpfull: Yes(0) No(1)
- 1)6804
1st case
first digit from left is 4
so 4c1*9*9*9
we know that first palace is 4
we choose a palace 4c1 and fixed it by 4
4*9*9*9=2916
2nd case
first digit from left is not 4
so 4c2*8*9*9=6*8*9*9=3888
so total numbers =2916+3888=6804
6804 is right answer - 8 years agoHelpfull: Yes(0) No(0)
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