Latest Elitmus Aptitude Question SOLUTION: A three digit number of the form ‘xyz’ is to be formed such that x z. How many such numbers are possible ?

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(#M40156188) ELITMUS Numerical Ability question Keep an EYE

A three digit number of the form ‘xyz’ is to be formed such that x z. How many such numbers are possible ?

Asked In Elitmus aakash unya (8 years ago)

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abhishek chaubey  (8 years ago)

So.....if y=0 then following cases would exist..
For x=2, 201
For x=3, 301, 302
For x=4, 401,402, 403
For x=5, 501,502,503,504
For x=6, 601,602,603,604,605
For x=7, 701,702,703,704,705,706
For x=8, 801....... 807
For x=9, 901,902,903 .......908

So total count with y=0 is 1+2+3+4+5+6+7+ 8= 36

And the total count done by akash=84

So the answer is 84+36= 120

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abhishek chaubey  (8 years ago)

ur question is incomplete...its like,,",A three digit number of the form ‘xyz’ is to be formed such that x > y, x > z, and y < z. How many such numbers are possible if x > 0?"

for solution....see 20th question in the following link.
http://www.campusgate.co.in/2011/11/permutations.html

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Aakash  (8 years ago)

Question is -->
A three digit number of the form ‘xyz’ is to be formed such that x > y, x > z, and y < z. How many such numbers are possible if x > 0?

x=0 && x=1 && x=2 is not possible because y and z has to be smaller.so for x=3 total no-=1
x=4, 412 413,423..... total no=3
x=5 512,513,514,523,524,534 total no=6
x=6 612,613,614,615,623,624,625,634,635,645=10
x=7 712,713,714,715,716,723,724,725,726,734,735,736,745,746,756 total no-15
x=8 812,813,814,815,816,817,823,824,825,826,827,834,835,836,837,845,846,847,856,857,867 total no=21
x=9,............ total no 28.
Add all 1+3+6+10+15+21+28=84

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abhishek chaubey  (8 years ago)

Akash...this solution is infact wrong....coz it doesn't include some cases ...eg. value of y could be zero and hence the possible no. Are 301, 302, ...


403,402, 401 etc..since there is no restriction of non zero number

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ashutosh mishra  (7 years ago)

x=2, 201 1
x=3,301 302,312 3
it will form a series i.e
1+(1+2)+(1+2+3)+............+(1+2+3+4+5+...+8)=167ans

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Manisha Choudhary  (7 years ago)

Ans is 120
include y = 0 also

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