^ 80 C_ 40 is not divisible by - - Vidyadip

MCQ

$^{80}C_{40 }$ is not divisible by -

A
$7$
B
$23$
C
$11$
✓
$29$

✓

Answer

Correct option: D.

$29$

d
(a) $\frac{80 !}{40 ! 40 !} \Rightarrow N_{r}$ has exponent of $7$ as $12 $ and

$\mathrm{D}_{\mathrm{r}}$ has exponent of $7$ as $10$ divisible by $7.$

(b) $\mathrm{N}_{\mathrm{r}}$ has exponent of $23$ as $3$ and denominator

as $2.$

divisible by $23.$

(c) $\mathrm{N}_{\mathrm{r}}$ has exponent of $11$ as $7$ and denomination has exeponent of $6 .$

(d) $\mathrm{N}_{\mathrm{r}} $ and $ \mathrm{D}_{\mathrm{r}}$ have same exponent of $29 .$ Hence not divisible by $29$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "MCQ" from permutation and combination→permutation and combination — all question types→MATHS STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

$A$ particle is moving in the $x y$-plane along a curve $C$ passing through the point $(3,3)$. The tangent to the curve $C$ at the point $P$ meets the $x$-axis at $Q$. If the $y$-axis bisects the segment $P Q$, then $C$ is a parabola with

Find the sum of series $1^2+ 3^2+ 5^2+$…………………………..$+ 11^2$.

The probability that a leap year will have 53 Fridays or 53 Saturdays is:

What is the value of x if $(\text{a} + 2\text{b} – 3\text{c})\text{x}^2 + (\text{b} + 2\text{c} – 3\text{a})\text{x} + (\text{c} + 2\text{a} – 3\text{b}) = 0$ where a, b, c are in A.P?

If $5x - 12y + 10 = 0$ and $12y - 5x + 16 = 0$ are two tangents to a circle, then the radius of the circle is

The centre of a regular polygon of $n$ sides is located at the point $z = 0$ and one of its vertex ${z_1}$ is known. If ${z_2}$ be the vertex adjacent to ${z_1}$, then ${z_2}$ is equal to

If $\text{z}=\frac{-2}{1+\sqrt{3}},$ then the value of arg (z) is:

If a normal to a parabola $ y^2 = 4ax$ make an angle $ \phi$ with its axis, then it will cut the curve again at an angle

If $^{2017}C_0 + ^{2017}C_1 + ^{2017}C_2+......+ ^{2017}C_{1008} = \lambda ^2 (\lambda > 0),$ then remainder when $\lambda $ is divided by $33$ is-

Suppose $a, b, c$ are three distinct real numbers, let $P(x)=\frac{(x-b)(x-c)}{(a-b)(a-c)}+\frac{(x-c)(x-a)}{(b-c)(b-a)}+\frac{(x-a)(x-b)}{(c-a)(c-b)}$ When simplified, $P(x)$ becomes