Convert the following products into factorials: 5.6.7.8.9.10 - Vidyadip

Question

Convert the following products into factorials:
5.6.7.8.9.10

✓

Answer

We have,

$5 \times 6 \times 7 \times 8 \times 9 \times 10$

$=\frac{10\times9\times8\times7\times6\times5\times(4\times3\times2\times1)}{4\times3\times2\times1}$

$=\frac{10!}{4!}$

Hence, $5\times6\times7\times8\times9\times10=\frac{10!}{4!}$

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 "2 Marks Questions" from Permutations→Permutations — all question types→MATHS STD 11 Science question papers→Rajasthan Board STD 11 Science question papers→Rajasthan Board question paper generator→

Similar questions

Find the coordinates of the centre and radius of each of the following circles:
$2\text{x}^2+2\text{y}^2-3\text{x}+5\text{y}=7$

If f : R → R be defined by f(x) = x² + 1, then find f^-1{17} and f^-1{-3}.

Prove that the lines 2x + 3y = 19 and 2x + 3y + 7 = 0 are equidistant from the line 2x + 3y = 6.

Differentiate the following function with respect to $(\text{x})$:

$(2\text{x}^2+1)(3\text{x}+2)$

Find:
$\lim\limits_{\text{x}\rightarrow2}[\text{x}]$

Find the modulus of $\frac{{1 + i}}{{1 - i}} - \frac{{1 - i}}{{1 + i}}$.

Find the area of the triangle formed by the lines joining the vertex of the parabola x² = 12y to the ends of its latus rectum.

Solve: cos x = $\frac{1}{2}$

Two balls are drawn at random from a bag containing 2 white, 3 red, 5 green and 4 black balls, one byb one without, replacement. find the probability that both the ballsw are of different colours.

Show that:
$\sin50^\circ\cos85^\circ=\frac{1-\sqrt2\sin35^\circ}{2\sqrt2}$