For any positive integer m- n n- m - nCm- n m - n - 1 m - n - 2 m - - - m m -

The correct option is D (n+1 m+1) [ m; n ]+[ m+1; m ]+[ m+2; m ]+...+[ n; m ] =[ m+1; m+1 ]+[ m+1; m ]+[ m+2; m ]+...+[ n; m ] ...

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

Combination

For any posit...

Question

For any positive integer $m, n (with n \geq m) =^{n} C_{m}$ .
$(\begin{matrix} n m \end{matrix}) + (\begin{matrix} n - 1 m \end{matrix}) + (\begin{matrix} n - 2 m \end{matrix}) + . . . + (\begin{matrix} m m \end{matrix}) =$

(\begin{matrix} n + 1 m + 1 \end{matrix})

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

(\begin{matrix} n m + 1 \end{matrix})

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

(\begin{matrix} n m \end{matrix})

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

(\begin{matrix} n - 1 m \end{matrix})

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

Open in App

Solution

Suggest Corrections

Similar questions

sin θ + cos θ = m

sec θ + cos e c θ = n,

n (m + 1) (m - 1) = ?

{lim}_{n \to \infty} \frac{1^{m} + 2^{m} + 3^{m} + . . . . n^{m}}{n^{m + 1}} = \frac{1}{m + 1} (m \neq - 1)

\int_{0}^{1} x^{m} d x

(w i t h n \geq m)

(\begin{matrix} n m \end{matrix}) =^{n} C_{m}

(\begin{matrix} n m \end{matrix}) + (\begin{matrix} n - 1 m \end{matrix}) + (\begin{matrix} n - 2 m \end{matrix}) + . . . . . . . . . . + (\begin{matrix} m m \end{matrix}) = (\begin{matrix} n + 1 m + 1 \end{matrix})

M

N

n (M) = 17

n (M \cup N) = 38

n (N) = 23

n (M - N)

n > 1

m

n^{m} + 1

a = 1 + n + n^{2} + \dots \dots + n^{63}

Join BYJU'S Learning Program