permutation and combination

Nine hundred distinct N-digits numbers are to be formed by using 6,8,and 9 only.The smallest value of N for which this is possible is

a) 6

b)7

c)8

d)9

4 Answers

3
Swastika dutta ·

Ans - (b)

But I am getting (d).
need an explaination.....

21
eragon24 _Retired ·

let the number of digits in the number be n
see 1st digit can come 3 ways
second can come in 3 ways
similarly each digit can come in 3 ways

so total ways are 3.3.3.3.3.....n times=3n≥900

n≥7

so least value of n is 7

1
Bicchuram Aveek ·

No restrictions.
So 3n (as 3x3x3x3x3.....n times) ≥ 900

Now go for experimental method...u'll find that it is 7 for which N is least else 3^n becomes less than 900 for n=(6,5,4,...) .
So ans is 7 .

--------------- The Dark Knight

1
Bicchuram Aveek ·

ooooooooooo sorry i didn't see dat eragon has posted the answer already .

Your Answer

Close [X]