If set A consists of 4 distinct elements while set B consists of 6 distinct elements then number of many one functions from A to B is

Question

If set A consists of 4 distinct elements while set B consists of 6 distinct elements then number of many one functions from A to B is (A) 936 (B) 3736 (C) 1296 (D) 4096

Tardigrade Admin · Accepted Answer

one - one function = 6 C 4 × 4 !=15 ⋅ 4 ! many one function =64-15 ⋅ 4 !=1296-360=936

Q. If set A consists of 4 distinct elements while set B consists of 6 distinct elements then number of many one functions from A to B is

936

3736

1296

4096

one - one function $=^{6} C_{4} \times 4! = 15 \cdot 4!$
many one function $= 6^{4} - 15 \cdot 4! = 1296 - 360 = 936$

Q. If set A consists of 4 distinct elements while set B consists of 6 distinct elements then number of many one functions from A to B is

936

3736

1296

4096

one - one function =6C4​×4!=15⋅4! many one function =64−15⋅4!=1296−360=936

one - one function $=^{6} C_{4} \times 4! = 15 \cdot 4!$
many one function $= 6^{4} - 15 \cdot 4! = 1296 - 360 = 936$