Find the value of: 8 !+5(4 !) 4 !-12 - Vidyadip

Question

Find the value of: $\frac{8 !+5(4 !)}{4 !-12}$

✓

Answer

$
\begin{aligned}
\frac{8 !+5(4 !)}{4 !-12} & =\frac{8 !+5 !}{4 \times 3 \times 2-12} \\
& =\frac{8 \times 7 \times 6 \times 5 !+5 !}{4 \times 3 \times(2-1)} \\
& =\frac{5 !(8 \times 7 \times 6+1)}{4 \times 3} \\
& =\frac{5 \times 4 \times 3 \times 2 \times 1(336+1)}{4 \times 3} \\
& =5 \times 2 \times 337=3370
\end{aligned}
$

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 "Solve the following Question.(1 Marks)" from Permutations and Combinations (p-2)→Permutations and Combinations (p-2) — all question types→Maths (commerce) STD 11 Commerce / Arts question papers→Maharashtra Board STD 11 Commerce / Arts question papers→Maharashtra Board question paper generator→

Similar questions

A fair die is thrown two times. Find the chance that:sum of the numbers on the upper face is at least 10.

Verify whether the following sequences are H.P. : $\frac{1}{7}, \frac{1}{9}, \frac{1}{11}, \frac{1}{13}, \frac{1}{15}, \ldots$

You have 2 identical books on English, 3 identical books on Hindi and 4 identical books on Mathematics. Find the number of distinct ways of arranging them on a shelf.

Find $n$ if ${ }^{2 n} C_{r-1}={ }^{2 n} C_{r+1}$

Evaluate the following : $i^{30}+i^{40}+i^{50}+i^{60}$

A coin and die are tossed. State sample space of following events.: A: Getting a head and an even number.

Find the following relations as sets of ordered pairs.{(x, y) / x + y = 3, x, y ∈ {0, 1, 2, 3}}

If $\omega$ is a complex cube root of unity, show that : $\frac{\left(\mathbf{a}+\mathbf{b} \omega+\mathbf{c} \omega^2\right)}{\mathbf{c}+\mathbf{a} \omega+\mathbf{b} \omega^2}=\omega^2$

Find the number of 4-digit numbers that can be formed using the digits $1,2,4,5,6$, 8 if: digits can be repeated

If A = {-1, 1}, find A × A × A.