138
edit : This is definitely wrong.See eureka and Nishant bhaiyyas posts below
Not at all my doubt
Find total no. of positive integral solutions of xyz = 23.34.51
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16 Answers
1
24Explaianation:
No of ways to distribute 3 identical 2's =^5C_2
no. .of ways to distribute 4 identical 3's =^6C_2
no .of ways to diribute 1 5 =3
1i can explain philip sir's answer
as each of the prime factors have a choice of going to 3 places ie to x, to y, to z . and there are 8 prime factors(need not be distinct)
so ans comes out to be 3*3*3*3*3*3*3*3=38
am i right philip sir
1@fibonacci : first of all delete that "sir" :( :(
@eureka : maybe.
I just wrote what came to my mind just then.
6238 is not the right answer.. there is a bit of repetition in that
I think the right answer is number of ways to divide 3 in 3 parts times 4 in 3 parts times 1 in 3 parts
so the answer is
5C2x6C2x3C2
Which is the answer given by eureka :)
24tahts what i wrote in post #7......but hid it so that everyone could try..[1]
its ball and stick method...
106@newmember: your answer is perfectly fine.... but Eureka's method is much more easier to understand...
Thanks Eureka and Nishant sir..