P & C doubt

Question

In how many Ways can 5 numbers be selected and arranged in ascending order from set 1 2 3 4 5 6 7 8 9 10?

Ans.  Is it 10C5 * 1ways

Please correct me if I m wrong..

Comments

correct !!

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Thanku..:)

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$5$ numbers are selected and arranged in ascending order from set $1 ,2, 3, 4, 5, 6, 7, 8, 9, 10$

So,answer is $\binom{10}{5}\times 1$  [Because only one ascending order is possible]

$5$ numbers are selected and arranged in descending order from set $1 ,2, 3, 4, 5, 6, 7, 8, 9, 10$

So,answer is $\binom{10}{5}\times 1$    [Because only one descending order is possible]

$5$ numbers are selected and arranged in ascending (or) descending order from set $1 ,2, 3, 4, 5, 6, 7, 8, 9, 10$

So,answer is $\binom{10}{5}\times 1+\binom{10}{5}\times 1$  [Because two order(ascending or descending) is possible]

$5$ numbers are selected and arranged in ascending and descending order from set $1 ,2, 3, 4, 5, 6, 7, 8, 9, 10$

So,answer is $\binom{10}{5}\times 0=0$  [Because two order(ascending and descending) is not possible at a time]