Quote:
Originally Posted by mohit_353 hey ...sory 4 wht..we r here to learn from each other..i must be thankful to u guys for taking interest ........
some more stuff......
2.How many 5 digit numbers can be made using 1, 2, 3, 4, 5 such that the digit in the unit
place is greater than the digit in the hundred's place ?
(1) 40 (2) 120 (3) 60 (4) 720
Happy solving......... |
the ans for 2nd ques is 60.here is the solution:
case1:take unit place=5 i.e 1 way
then 10th place can be filled in 4 ways,100th place in 3 ways,1000th palce in 2 ways and 10000th place in 1 way.so no of ways=1*4*3*2*1=24
case2:unit place=4,10th place=5 i.e.1 way
100th place can be filled in 3 ways and 1000th in 2 ways and 10000th place in 1 way...
no of ways=6
case3:unit place=4,10th place=any one of (1,2,3)i.e 3 ways
100th place in 2 ways,1000th in 2 and 10000th place in 1 way.
no of ways=12
case 4:unit place=3,10th place=any one of (1,2) i.e 2 ways
100th place in 1 way and 1000th in 2 way and 10000th place in 1 way ...no of ways=4
case5:unit place=3,10th palce=any one of (4,5) i.e 2 ways
100th palce in 2 way,1000th in 2 way and 10000th place in 1 way
no of ways=8
case6:unit place=2
10th place in 3 ways,100th palce in 1 way,1000th in 2 way 10000th place in 1 way
so no of ways=6
so ans=24+6+12+4+8+6=60
i know its quite difficult to understand but then problem is quite complex.any clarifications guys??