Page 8 - Grade 10 C.Math

1.2 ltg cf]6f ;d"xx¿ ;lDdlnt ;d:ofx¿ (Problems Including Three Sets)
;Fu}sf] e]glrqsf] cjnf]sg u/L k|To]sn]
A B U
cfcfk\mgf sfkLdf o;sf ljleGg efux¿sf]
jf pk;d"xx¿sf] ;"rL tof/ kfg'{xf];\ .

To;kl5 cfcfk\mgf ;d"xdf cfk;df 5nkmn u/L
Curriculum Development Centre
tL pk;d"xx¿sf] ;DaGwx¿sf af/]df

;femf lgisif{ atfpg'xf];\ . C
lbOPsf] e]glrqdf ltg cf]6f ;d"xx¿ A, B / C cfk;df k|ltR5]bg ePsf 5g\, h;df ;j{Jofks
;d"x U sf s]xL pk;d"x¿nfO{ lgDgfg';f/ n]Vg ;lsG5 M

A, B, C, A  B, B  C, C  A , A  B , B  C , C  A, A  B  C, A  B  C, / A B C
o;df A  B  C nfO{ e]glrqdf s;/L k|:t't ug{ ;lsG5 < kTtf nufpg'xf];\ .

xfdLnfO{ yfxf 5, n(A  B) = n(A) + n(B) – n(A  B) x'G5 .

t;y{ n(A  B  C) = n[A  (B  C)] = n(A) + n(B C) - n[A  (B  C)] x'G5 .

= n(A) + n(B) + n(C) – n(B  C) - n[(A  B)  (A  C) x'G5, lsg <
'
= n(A) + n(B) + n(C) - n(B  C) – [n(A  B) + n(A  C) – n[A  B)  (A  C)] xG5, lsg <
'
{
cyft n(A  B  C) = n(A) + n(B) + n(C) - n(A  B) - n(B  C) - n(A  C) + n(A  B  C) xG5, s;/L <_
\
t;y{ n(A  B  C) = n(A) + n(B) + n(C) - n(A  B) - n(B  C) - n(A  C) + n(A  B  C) x'G5 .
dflysf] ;DaGwnfO{ e]glrqdf lgDgfg';f/ k|:t't ug{ ;lsG5 M n(B)
A B U
n(A  B)
n(A) n (B)
n (A  B) 0
0
n (A) n(A  BC)
0
n (BC)
0
n(BC)
C

n (AC) n (C)
n(AC) 0 0

dflysf] e]glrqsf] ;xfotfn] n (A), n (B) / n (C) sf] dfg kTtf nufpg] ;"q kTtf nufP/
0 0 0
;d"xdf 5nkmn u/L ;a}sf ;femf lgisif{ sIffdf k|:t't ug'{xf];\ .

5 ul0ft, sIff – 10