Using the digit 2, 4 and 6, two digit number is formed, each digit being used only once. Find the probability that the number so formed is greater than 46.
total no of words formed by letters of word COMPANY = 5040
ordered sequence A, C, M, N, O, P, Y
so rank
= (5040/7)*1+(720/6)*3+(120/5)*1+(24/4)*2+(6/3)*0+(2/2)*0+1
= 720+360+24+12+1
= 1117
Rules for making these codes are
Letters are changed according to the sequence given below
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
Z Y X W V U T S R Q P O N M L K J I H G F E D C B A
MAHESH = NZSVHS
SOHAN = HLSZM
GAURAV = TZFIZE
then
HEMANT = SVNZMG
let x = 5.678678678678........... (i)
Multiply 1000 both side
1000x = 5678.678678678678........... (ii)
Subtracting (ii) from (i)
999x = 5673
x = 1891/333