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Joan is allowed to invite 3 of her friends to join her on a family camping trip. If Joan has 10 friends, in how many ways can she invite 3 of them?
$$\frac{(10!-8!)}{7!}$$
Hal has 4 girl friends and 5 boy friends. In how many different ways can Hal invite 2 girls and 2 boys to his birthday party?
An office has 6 employees; there are 5 female employees and 1 male employee. In how many ways can a 3-person committee be created if the committee must include the male employee?
Joan has 100 candies to distribute among 10 children. If each child receives at least 1 candy and no two children receive the same number of candies, what is the maximum number of candies that a child can receive?
Car X can come with any of these 5 additional features: sunroof, stereo, tinted windows, leather seats and cruise control.

Quantity A

Number of different combinations possible

Quantity B

25


An office has 6 employees. The manager must create a committee consisting of 3 employees.

Quantity A

Number of different combinations possible

Quantity B

40


A, B, and C are consecutive odd integers such that A < B < C.

If A + B + C = 81, then A + C =
The Greatest Common Factor (GCF) of 48 and 72 is
If k is an integer and k = $$\frac{462}{n}$$, then which of the following could be the value of n?
The Greatest Common Factor (GCF) of 18 and 24 is
When positive integer k is divided by 5, the remainder is 2. When k is divided by 6, the remainder is 5. If k is less than 40, what is the remainder when k is divided by 7?
If K is the least positive integer that is divisible by every integer from 1 to 8 inclusive, then K =
When Q is divided by W, the quotient is R and the remainder is E. Which of the following expressions is equal to E?
When positive integer k is divided by 1869, the remainder is 102. What is the remainder when k is divided by 89?
If k is an integer, what is the smallest possible value of k such that 1040*k is the square of an integer?
$$\frac{228}{494}$$=

Quantity A

The number of prime numbers divisible by 13

Quantity B

The number of prime numbers divisible by 2


The first six terms of an infinite sequence are 2, 4, 4, 3, 7, 5 and these six terms repeat in the same order. (e.g., 2, 4, 4, 3, 7, 5, 2, 4, 4, 3, 7, 5 . . . )

Quantity A

Term 49

Quantity B

Term 50


y = 5*6*14*15

Quantity A

Remainder when y is divided by 18

Quantity B

Remainder when y is divided by 40


1 2 ... 33 34 35 36 37 38 39 ... 54 55

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