If $^{10} C_{x} =^{10} C_{x + 4}, t h e n x = 3$

True

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

False

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

Either

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

Neither

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

Open in App

Solution

The correct option is A True
$^{10} C_{x} =^{10} C_{x + 4} . . . . . . . . (1)$
We Know
$^{n} C_{r} =^{n} C_{n - r} . . . . . . . . . . (2)$
Comparing $(1)$ and $(2)$
$r = x, n - r = x + 4 r + n - r = x + x + 4 n = 2 x + 4 10 = 2 x + 4 2 x = 6 x = 3$

Suggest Corrections

Similar questions

x

^{10} C_{x - 1} > 2 \cdot^{10} C_{x}

f (x) = \frac{1}{\sqrt{^{10} C_{x - 1} - 3^{10} C_{x}}}

\frac{1}{\sqrt{^{10} C_{x - 1} - 3^{10} C_{x}}}

x

^{10} C_{x - 1} > {2.}^{10} C_{x}

x^{2} - 10 a x - 11 b = 0 r o o t s = c, d

x^{2} - 10 c x - 11 d = 0 r o o t s = a, b

Join BYJU'S Learning Program