Questions
The number of permutations of letters a, b, c, d, e, f, g so that neither the pattern beg nor cad appears is
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a
7!3!3!
b
7!2!3!3!
c
4806
d
None of these
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Correct option is C
Total number of permutations = 7!Let A be the property that ‘beg’ occurs.B be the property that cad occurs.Number of permutations with A = 5!= that of with B and n(A∩B)=3!∴ n(A∪B)=5!+5!−3!=234∴ Required number = 7! – 234 = 4806Similar Questions
Let be a set containing elements. The number of reflexive relations that can be defined on is
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