SEMESTRAL TEST 9thA

An employer interviews 9 people for 4 management positions in a company, and 5 of the 9 people are women. If all 9 are qualified, in how many ways can the employer fill the management positions if exactly 2 are women?

• 60

• 55

• 50

• 45

Pablo has 4 CDs that he is going to give away. He lets his best friend choose 3 of the 4 CDs. How many different groups of 3 CDs are possible?

• 10

• 4

• 7

• 15

• 70

• 60

• 80

• 90

Three research departments have 8, 9, and 7 members, respectively. Each department is to select a delegate and an alternate to represent the department at a conference. In how many ways can this be done?

• 169,344

• 163,394

• 263,487

• 145,384

How many ways are there of choosing 2 colors, without replacement, from the 3 colors red, blue, and green, if

The order of the choices is taken into consideration?

• 6

• 8

• 10

• 12

How many ways are there of choosing 2 colors, without replacement, from the 3 colors red, blue, and green, if

The order of the choices is not taken into consideration?

• 2

• 3

• 5

• 7

In how many ways a committee consisting of 2 faculty members and 5 students be formed if there are 7 faculty members and 9 students eligible to serve on the committee?

• 2834

• 2646

• 3847

• 2394

Serial numbers for a product are to be made using 2 letters followed by 3 numbers. If the letters are to be taken from the first 6 letters of the alphabet with no repeats and the numbers are taken from the digits 0 through 9 with no repeats, how many serial numbers can be generated?

• 31,233

• 32,200

• 23,400

• 21,600