Question 59
How many ways are there to arrange the first ten positive integers such that the multiples of $2$ appear in increasing order, and the multiples of $3$ appear in decreasing order?
(a) $720$
(b) $2160$
(c) $5040$
(d) $6480$
(a) $720$
(b) $2160$
(c) $5040$
(d) $6480$