We are given: \(\displaystyle\frac{{{25}{h}^{{3}}\cdot{j}{k}^{{5}}}}{{{12}{h}^{{2}}\cdot{k}}}\)

Use the rule: \(\frac{a^m}{a^n}=a^{m-n} =\frac{(25h^{3-2})(jk^{5-1})}{12} =\frac{25hjk^4}{12}\)

Question

asked 2021-07-03

\(\displaystyle{\left(-{3}{j}^{{-{{5}}}}\cdot{k}^{{6}}\right)}^{{4}}\)

asked 2021-09-13

Suppose that you buy a lottery ticket containing k distinct numbers from among \[\left\{1,2,...,n\right\}, 1\leq k \leq n\]. To determine
the winning tickets, k balls are randomly drawn without replacement from a bin containing n balls numbered 1, 2, . . . , n.
What is the probability that at least one of the numbers on your lottery ticket is among those drawn from the bin?

asked 2021-09-13

Urn 1 contains 7 red balls and 1 black ball. Urn 2 contains 1 red ball and 2 black balls. Urn 3 contains 5 red balls and 2 black balls. If an urn is selected at random and ball is drawn, find the probability that it will be red.

asked 2021-09-15

How many five-letter sequences are possible that use the letters q, u, a, k, e, s at most once each?