A box contains 4 biack and 5 biue identical pens. Two Pens are picked from the box at random one after the other without replacement. Find the probability that the pens picked are \( \begin{array}{ll}\text { (i) both blue, } \\ \text { (ii) of the same colour. }\end{array} \)

\( 1 \leftarrow \quad \begin{array}{l}\text { In a race in which five automobiles are entered and there are no ties, in how many ways can the } \\ \text { first three finishers come in? }\end{array} \)

Question 10, 11.2.47 At a benefit concert, nine bands have volunteered to perform but there is only enough time for six of the bands to play. How many lineups are possible?

In a group of people on holiday, it is established that there are: - 10 males under the age of 21 - 8 females under the age of 21 - 6 males aged between 21 and 30 - 5 females aged between 21 and 30 Calculate the probability that, if one person is selected at random from the group this person will be: \( \begin{array}{ll}\text { a) A male under the age of } 30 . \\ \text { b) A female. } \\ \text { c) A male over the age of } 21 . \\ \text { d) A person not older than } 21 . \\ \text { e) A male given that this person is over } 30 \text { years. } \\ \text { f) A female or between } 21 \text { and } 30 . \\ \text { g) A male or a female. }\end{array} \)

In how many ways can the digits in the number \( 7,441,111 \) be arranged?

What is the probability of rolling a 1 or a 4 on a number cube labeled 1 through 6 ? B. \( \frac{1}{6} \) D. \( \frac{1}{3} \) E. \( \frac{1}{2} \) E. \( \frac{5}{6} \)