A safe has a keypad, shown below, that can be used to open the lock. Each code must be made up of two non-repeating letters followed by 3 non-repeating digits. The maximum number of codes that are possible is

The number of different arrangement of 8 dogs and 7 cats placed in a row of cages if the dogs must be together and the cats are together is

How many ways can 5 apple trees, 4 pear trees, and 3 cherry trees be arranged along a fence line?

A box of 30 flashbulbs contains 5 defective bulbs. In how many ways can 6 bulbs be selected if the selection must consist of 2 defective bulbs?

Aircraft in most countries use a five-letter registration code. In Canada, the first

letter must be C, the second letter may be an F, G or I, and the last three letters

have no restrictions. How many different registrations are possible?

Seven clubbers want to travel to a club in two taxis. Each taxi can hold at most 5 people. In how many ways can the group be split up?

The value ofaC4 aN and a>4 is equal to the value of

A school has 7 Math teachers, 6 Science teachers, and 3 Social Studies teachers. From this group, a 5-teacher committee is required. The number of committees that can be formed ifat least1 Social Studies teacher must be on the committee is

A student council decides to form a sub-committee of five council members. There are six Grade Ten students, eight Grade Eleven students andten Grade Twelve students. How many committees are possible that haveat most2 Grade Twelve students?

If 35 quadrilaterals can be placed on a circle with a series of points on it, then how many points are on the circle?