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A team of 7 people is to be chosen from 5 women and 7 men. Calculate the number of different ways in which this can be done if the team is to contain more women than men.

• 10

• 21

• 196

• 792

Tags

CCSS.HSS.CP.B.9

CCSS.HSA.CED.A.3

The letters of the word THURSDAY are arranged in a straight line. Find the number of different arrangements of the letters if the arrangement must start with the letter T and end with the letter Y.

• 28

• 56

• 720

• 40320

Tags

CCSS.HSS.CP.B.9

The letters of the word THURSDAY are arranged in a straight line. Find the number of different arrangements of the letters if the second letter in the arrangement must be Y.

• 56

• 40320

• 720

• 5040

Tags

CCSS.HSS.CP.B.9

A team of 5 students is to be chosen from a class of 10 boys and 8 girls. Find the number of different teams that may be chosen if the team must contain at least one boy and one girl.

• 306

• 153

• 8260

• 5216

Tags

CCSS.HSS.CP.B.9

Tickets for a concert are given out randomly to a class containing 20 students. No student is given more than one ticket. There are 15 tickets.

There are 12 boys and 8 girls in the class. Find the number of different ways in which all the boys get tickets.

• 56

• 495

• 789

• 125,970

Tags

CCSS.HSS.CP.B.9

A committee of 7 members is to be selected from 6 women and 9 men. Find the number of different committees that may be selected if the committee must contain at least 1 woman.

• 720

• 6399

• 6435

• 32,432,400

Tags

CCSS.HSS.CP.B.9

A man and two women are to sit in a row of five empty chairs.Calculate the number of ways they can be seated if the two women must sit next to each other.

• 24

• 18

• 56

• 720

Tags

CCSS.HSS.CP.B.9

A 5-character password is to be chosen from the letters A,B,C,D,E and the digits 4, 5, 6, 7.Each letter or digit may be used only once. Find the number of different passwords that can be chosen if the password contains 2 letters followed by 3 digits.

• 12

• 36

• 480

• 15120

Tags

CCSS.HSS.CP.B.9

How many even numbers less than 500 can be formed using the digits 1, 2, 3, 4 and 5? Each digit may be used only once in any number?

• 24

• 28

• 60

• 240

Tags

CCSS.HSS.CP.B.9

A committee of 8 people is to be chosen from 7 men and 5 women. Find the number of different committees that could be selected if the committee contains at least 3 men and at least 3 women.

• 28

• 240

• 420

• 120

Tags

CCSS.HSS.CP.B.9