PERMUTATIONS AND COMBINATIONS

A committee of 3 is formed from a panel of 5 men and 3 women. Find the probability that at least one woman is on the committee.

• 0.52

• 0.62

• 0.72

• 0.82

Tags

CCSS.HSS.CP.B.9

A committee of 6 is to be selected at random from a group of 7 boys and 4 girls. Find the probability that the committee contains at least two girls.

• 0.50

• 0.60

• 0.70

• 0.80

Tags

CCSS.HSS.CP.B.9

• 6
• 7
• 8
• 9

A committee of 2 tutors and 5 pupils is to be formed among 6 tutors and 10 pupils. In how many ways can this be done, if one particular tutor must be on the committee and two particular pupils must not be on the committee?

• 880

• 980

• 900

• 1008

• 8

• 56

• 40

• 24

Tags

CCSS.HSF.BF.A.2

A family of 6 is to be seated in a row. In how many ways can this be done, if the father and mother must not to sit together?

• 480
• 720

• 120

• 560

A committee of three men and two women is to be formed from four men and six women. How many different committees can be formed if a particular man and a particular woman cannot serve together on the same committee?

• 252 ways

• 237 ways

• 589 ways

• 105 ways

There are 6 points in a plane. How many triangles can be formed by the points?

• 6

• 15

• 20

• 18

Edem and his wife were invited to a dinner by a family of 5. They all sat in such a way that Edem sat next to his wife. Find the number of ways of seating them in a row.

• 14400

• 3600

• 1440

• 5040

In how many ways can 9 people be seated on a bench if only 3 places are available?

• 1200
• 504
• 320
• 204