The number of surjective functions from 2-4-6-8- - - -2 n to 1-2 isA- 22 n-1B- 22 n-2C- nD- 2 n

The correct option is B 22n 2 Number of onto functions from A to B =2_C_02^2n 2_C_1(2 1)^2n+2_C_2(2 2)^2n =2^2n 2 ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Chain Rule of Differentiation

The number of...

Question

The number of surjective functions from {2,4,6,8,.....2n} to {1,2} is

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2²ⁿ- 1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2²ⁿ- 2

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

Suggest Corrections

Similar questions

The number of surjective functions from {2,4,6,8,.....2n} to {1,2} is

\frac{2^{n + 4} - 2 (2^{n})}{2 (2^{n + 3})} =

(1 + x)^{n} = C_{0} + C_{1} x + C_{2} x^{2} + \dots + C_{n} x^{n},

\sum \sum 0 \leq r < s \leq n (r + s) C_{r} C_{s}

\frac{2^{n + 4} - 2 (2^{n})}{2 (2^{n + 3})} + 2^{- 3}

\frac{2^{n + 4} - 2 (2^{n})}{2 (2^{n + 3})} + 2^{- 3}

Join BYJU'S Learning Program