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Determine whether the sequence is arithmetic. If so, then find the common difference. $$4,9,14,19,24, . . .$$

Determine the number of ways a computer can randomly generate one or more such integers from 1 through 12.An even integer

Determine the number of ways a computer can randomly generate one or more such integers from 1 through 12.An integer that is greater than 9

Determine the number of ways a computer can randomly generate one or more such integers from 1 through 12. An integer that is divisible by 4

Determine whether the sequence is arithmetic. If so, then find the common difference. $$1^{2}, 2^{2}, 3^{2}, 4^{2}, 5^{2}, \ldots$$

A customer can choose one of three amplifiers, one of two compact disc players, and one of five speaker models for an entertainment system. Determine the number of possible system configurations.

A small college needs two additional faculty members: a chemist and a statistician. There are five applicants for the chemistry position and three applicants for the statistics position. In how many ways can the college fill these positions?

Drawing a Card Find the probability for the experiment of drawing a card at random from a standard deck of 52 playing cards. The card is not a face card.

How many four-digit numbers can you form under each condition? (a) The leading digit cannot be zero. (b) The leading digit cannot be zero and no repetition of digits is allowed. (c) The leading digit cannot be zero and the number must be less than 5000 . (d) The leading digit cannot be zero and the number must be even.

Tossing a Die Find the probability for the experiment of tossing a six-sided die twice. The sum is 6