Let \( X \) be the set of all five digit numbers formed using \( 1, 2, 2, 2, 4, 4, 0 \). For example, \( 22240 \) is in \( X \) while \( 02244 \) and \( 44422 \) are not in \( X \). Suppose that each element of \( X \) has an equal chance of being chosen. Let \( p \) be the conditional probability that an element chosen at random is a multiple of \( 20 \) given that it is a multiple of \( 5 \). Then the value of \( 38p \) is equal to:
