no.of postive integral solutions of xyz=72 are?
a.30
b.50
c.60
d.90
Answers
Answered by
6
30
Xyz=2³3
Now giving 3 to x or y or z therefore 3 ways ….(1)
And now assume giving 3 identical 2s in 3 people i. e beggars method
(3+3-1)C(3-1)=5C2=10……(2)
From (1) and(2)
So 10×3=30
Xyz=2³3
Now giving 3 to x or y or z therefore 3 ways ….(1)
And now assume giving 3 identical 2s in 3 people i. e beggars method
(3+3-1)C(3-1)=5C2=10……(2)
From (1) and(2)
So 10×3=30
pParamesh1:
super
but the answer id 60. the prime factorisation of 72=3×3×2×2×2=2^3×3^2. total no.of positive integral solutions=2+3-1C3-1. 3+3-1C2 =4×3/2.5×4/2=6×10=60
your answer is wrong
Answered by
0
Answer: 60
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