Book Maths Puzzle Numerical Ability Permutation and Combination

How many number of triangle are possible with perimeter 14 and all sides are integral ?

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Book Other Question

what is the integration of (sinx+cosx)/(sqrt(sin2x)) In a certain school, there are 180 pupils in Year 7. One hundred and ten pupils study
French, 88 study German and 65 study Indonesian. Forty pupils study both French and
German, 38 study German and German only. Find the number of pupils who study:
a.all three languages
b.Indonesian only
c.none of the languages
d.at least one language
e.either one ot two of the three languages.