GATE | GATE MOCK 2017 | Question 36

A and B are two sets. If |A| = 5 , |B| = 3 , then, the number of onto functions from A to B are ___ ?

(A) 35
(B) 150
(C) 29
(D) 27

Answer: (B)
Explanation:

Given, m=5 , n=3
Number of onto function = ??−??1(?−1)?+??2(?−2)?−??3(?−3)?+??4(?−4)?
= 35 – 3c1(2)5 + 3c2 (1)5 – 3c3 (0)5
= 243 – 3×32 + 3×1
= 150

Quiz of this Question

Article Tags :

GATE

GATE-GATE 2017 Mock

Recommended Articles

1. GATE | GATE MOCK 2017 | Question 1

2. GATE | GATE MOCK 2017 | Question 2

3. GATE | GATE MOCK 2017 | Question 3

4. GATE | GATE MOCK 2017 | Question 4

5. GATE | GATE MOCK 2017 | Question 5

6. GATE | GATE MOCK 2017 | Question 6

7. GATE | GATE MOCK 2017 | Question 7

8. GATE | GATE MOCK 2017 | Question 8

9. GATE | GATE MOCK 2017 | Question 9

10. GATE | GATE MOCK 2017 | Question 10

11. GATE | GATE MOCK 2017 | Question 11

12. GATE | GATE MOCK 2017 | Question 12

13. GATE | GATE MOCK 2017 | Question 13

14. GATE | GATE MOCK 2017 | Question 14

15. GATE | GATE MOCK 2017 | Question 15

16. GATE | GATE MOCK 2017 | Question 16

17. GATE | GATE MOCK 2017 | Question 17

18. GATE | GATE MOCK 2017 | Question 18

19. GATE | GATE MOCK 2017 | Question 19

20. GATE | GATE MOCK 2017 | Question 20

21. GATE | GATE MOCK 2017 | Question 21

22. GATE | GATE MOCK 2017 | Question 22

23. GATE | GATE MOCK 2017 | Question 23

24. GATE | GATE MOCK 2017 | Question 24

25. GATE | GATE MOCK 2017 | Question 25