Question
Download Solution PDFमान लीजिए A = {1, 2, 3, 4, 5} और B = {6, 7} है। A से B पर आच्छादक फलनों की संख्या कितनी है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFअवधारणा:
एक समुच्चय A (जिसमें m तत्व हों) से एक समुच्चय B (जिसमें n तत्व हों) (m ≥ n) तक आच्छादित फलनों की संख्या निम्न प्रकार दी गई है
nm - nC1(n - 1)m + nC2(n - 2)m - ...
स्पष्टीकरण:
A = {1, 2, 3, 4, 5}, B = {6, 7}
n(A) = m = 5 और n(B) = n = 2
इसलिए, A से B तक आच्छादक फलनों की संख्या है
25 - 2C1(2 - 1)5
= 32 - 2 = 30
विकल्प (3) सत्य है।
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