An event planner is deciding what food to include in a buffet. The caterer has offered 10 cold dishes and 6 hot dishes. Of the 16 dishes offered, the event planner will choose 8. (If necessary, consult a list of formulas.) (a) In how many ways can the event planner choose 8 dishes if the number of hot dishes must be less than 2? 0 (b) In how many ways can the event planner choose 8 dishes if the number of hot dishes must be greater than or equal to 2? 0 X S

Mr Regpala needs the help of 6 students from the class to help him move some supplies. If the class has 31 students, in how many ways can the students be chosen to help?

A doctor visits her patients during morning rounds. In how many ways can the doctor visit 8 patients during the morning rounds?

Suppose Allan is going to build a playlist that contains 7 songs. In how many ways can Allan arrange the 7 songs on the playlist? Allan can arrange the 7 songs on the playlist in different ways.

A university student is selecting courses for his next semester. He can choose from 6 science courses and 10 humanities courses. In how many ways can he choose 9 courses if fewer than 3 must be science courses?

You and 3 friends are moving into a 4-bedroom house and need to decide who gets which room. How many different ways could you and your friends assign the rooms? (Enter your answer as a whole number.)

Mr. Gon is planning to buy a car from two stores. From the first store, there are 3 models, 2 colors and he can choose between manual or automatic transmission. From the second store, there are 4 models, 3 colors and he can also choose between manual or automatic transmission. How many different choices does he have? O 140 36 O 42 O 432

there are 624 scholars who attend Excel Middle School. (3)/(4)of the scholars ride the bus to school. Of the remaining scholars, (1)/(4) of them ride in cars, and the rest walk. How many scholars ride in cars? How many scholars walk?

The organizer of a conference is selecting workshops to include. She will select from 3 workshops about chemistry and 8 workshops about biology. In how many ways can she select 4 workshops if fewer than 2 must be about chemistry? (If necessary, consult a list of formulas.)

For a fishing trip, Shen is going to choose lures to put in his tackle box. He has 7 lures that are crankbaits and 6 that are buzzbaits. In how many ways can he choose 4 lures if 2 or fewer must be buzzbaits? (If necessary, consult a list of formulas.)