1)

If all possible numbers are formed by using the digits 1,2,3,5,7 without repetition and they are arranged in descending order, then the rank of the number 327 is 


A) 72

B) 175

C) 149

D) 271

Answer:

Option D

Explanation:

Number of possible 5 digit numbers is 120 

Number of possible 4 digit number is 120

 Number of possible  3 digit numbers start with 7 is 12

 Number of possible 3 digit numbers start with 5 is 12

 Then, according to order 3 digit numbers are 375,372,371,357, 352,351,327

 So , the rank of number  327 is 271