For any integer n greater than 1, n* denotes the product of all the integers from 1 to n, inclusive. How many multiples of 4 are there between 4* and 5*, inclusive? Answers.
A) 5  B) 6  C) 20  D) 24  E) 25
here, 4* = 4! and 5* = 5!   question is asking no. of terms in an AP whose first term is 24(4!), last term is 120(5!) and common difference is 4.   last term OR nth term = first term +(no. of tems -1)(common difference)   Tn = a + (n-1)d   120 = 24 + (n-1)4   96/4 = n-1   n = 25 .....25
<result>E</result>
For any integer n greater than 1, n* denotes the product of all the integers from 1 to n, inclusive. How many multiples of 4 are there between 4* and 5*, inclusive?