NDA2024MathematicsFunctionsActual
Let A = 1,2,3,4,5 and B = 6,7 . What is the number of onto functions from A to B ?
Options
- A10
- B20
- C30
- D32
Correct answer
C. 30
Step-by-step solution
n( ~A )=5 and n( ~B )=2 gathered Number of onto functions =2^5- ^2 C ₁(2-1)^5 =32-2=30 . gathered