A five digit number is to be formed using each of the digits 1, 2, 3, 4 and 5 ONLY ONCE. How many numbers can be formed when 2 and 3 are not together ?	Choose the correct choice from the following:
A) 48  B) 72  C) 36  D) 60  E) 120
Reqd ways = (Total No. of ways - cases when both 2 and 3 are together)   5 numbers can be arranged in 5 places in 5! ways. Now tie 2 and 3 together so effectively there are 4 nos. they can be arranged in 4! ways. 1 and 2 can be arranged within themselves in 2!ways.   Reqd. Answer = 5! - 4!2! = 120 - (24*2)= 
<gadget id="calculator">120 - (24*2)</gadget>
<output>72</output>
72   Answer: 72
<result>B</result>
A five digit number is to be formed using each of the digits 1, 2, 3, 4 and 5 ONLY ONCE. How many numbers can be formed when 2 and 3 are not together ?