What is the main difference between a situation in which the use of the permutations rule is appropriate and one in which the use of the combinations rule is appropriate? Permutations count the number of different arrangements of r out of n items, while combinations count the number of groups of r out of n items.Both permutations and combinations count the number of different arrangements of r out of n items.     Both permutations and combinations count the number of groups of r out of n items.Combinations count the number of different arrangements of r out of n items, while permutations count the number of groups of r out of n items.

A product shipment contains 6 computer chips, of which two (2) are defective. If an inspector selects 4 chips at random for an order, without replacement, how many ways are there of picking both defective chips in this order (of 4 chips)?  Order does not matter.

The following problem is solved by using factors and multiples and features the strategies of guessing and checking and making an organized list. Problem A factory uses machines to sort cards into piles. On one occasion a machine operator obtained the following curious result. When a box of cards was sorted into 7 equal groups, there were 6 cards left over; when the box of cards  was sorted into 5 equal groups, there were 4 left over; and when it was sorted into 3 equal groups, there were 2 left. If the machine cannot sort more than 200 cards at a time, how many cards were in the box?

Answer the following question by using a combination or a permutation. how many different ways can 3 out of 15 fans at a concert be chosen to go backstage after the show?

In an experiment, there are 5 possible conditions, and you would like each participant to receive 3 out of the 5. However, you are concerned about the possible effects of the order in which the conditions are experienced, so you want to use all possible permutations of the 3 conditions tested. Calculate the number of permutations.

For each of the following situations, explain why the combinations rule or the permutations rule should be used. (a) Determine the number of different groups of 5 items that can be selected from 12 distinct items. Use the permutations rule, since only the items in the group is of concern.Use the combinations rule, since only the items in the group is of concern.     Use the combinations rule, since the number of arrangements within each group is of interest.Use the permutations rule, since the number of arrangements within each group is of interest. (b) Determine the number of different arrangements of 5 items that can be selected from 12 distinct items. Use the combinations rule, since only the items in the group is of concern.Use the permutations rule, since only the items in the group is of concern.     Use the permutations rule, since the number of arrangements within each group is of interest.Use the combinations rule, since the number of arrangements within each group is of…

In the BS Lottery players choose 6 numbers out of 30. They win if they choose the same 6 numbers as our machine, which selects the numbers randomly.  (A) How many permutations are possible? (B) How many combinations are possible?

Is Rolling a 6 on one die and rolling a 5 on another die Independent? or Is Drawing an ace on a first draw and then a king on the second draw, where the first card drawn is not replaced Independant?

A jeweler has 10 diamonds and 7 rubies. To make a bracelet, a jeweler will select 5 gemstones. Blank #1: Is this a Permutation or Combination? Blank #2: How many selections will contain at least 3 diamonds? Blank # 1 combination Blank # 2 8:14 PM 4/24/2021 Delete が+ F12 PrtSc Insert F10 F11 Backspace Num Lock 0 7 8. Home PgUp 4 %3D 7. Enter 2 Shift End Pg PgUp + II