Question

If m denotes the number of 5 digit
numbers if each successive digits
are in their descending order of
magnitude and n is the
corresponding figure, when the
digits are in their ascending order
of magnitude then m/n has the value
n
answer it correct otherwise I will report​

Answer 1

Answer:

For descending order :

To form a five digit number we need to choose 5 numbers out of 10 numbers

This can be done in

10

C

5

ways.

Now we don't need to arrange them,as there is only one way by which 5 different numbers can be arranged

⇒m=

10

C

5

For ascending order : We have only 9 options to choose from, as including 0 and arranging it in ascending order will put on the front and with zero on front the no will be a 4 digit no and not 5

So for this case we have

9

C

4

cases.

⇒n=

9

C

4

⇒m−n=

10

C

5

−

9

C

4

=

9

C

5

Thus, ⇒m−n=

9

C

Answer 2

Step-by-step explanation:

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