Find the number of different arrangements of the word IKO...
Find the number of different arrangements of the word IKOTITINA.
30240
60840
120960
362880
Correct answer is A
IKOTITINA has 9 letters with 2Ts and 3Is. Therefore, the number of different arrangements
= \(\frac{9!}{2!3!} = \frac{9.8.7.6.5.4}{2} = 30240\)
For what values of x is \(\frac{x^{2} - 9x + 18}{x^{2} + 2x - 35}\) undefined?...
If \(h(x) = x^{3} - \frac{1}{x^{3}}\), evaluate \(h(a) - h(\frac{1}{a})\)...
Simplify \(\frac{\log_{5} 8}{\log_{5} \sqrt{8}}\)....
Given that \(f : x \to x^{2}\) and \(g : x \to x + 3\), where \(x \in R\), find \(f o g(2)\)....
Solve, correct to three significant figures, (0.3)\(^x\) = (0,5)\(^8\)...
If →PQ = -2i + 5j and →RQ = -i - 7j, find →PR ...
Evaluate \(\frac{\tan 120° + \tan 30°}{\tan 120° - \tan 60°}\)...
Express \(\frac{8 - 3\sqrt{6}}{2\sqrt{3} + 3\sqrt{2}}\) in the form \(p\sqrt{3} + q\sqrt{2}\)...
Simplify ( \(\frac{1}{2 - √3}\) + \(\frac{2}{2 + √3}\) )\(^{-1}\)...