if a coin is tossed 4 times, and then a standard 6 sided die is rolled 4 times and a group of 3 cards out of a deck of 52 are draw without replacment how many different outcomes are possible?

Q: In the 31st SEA Games volleyball match, how many ways can a coach choose 6 starters from a…

A: From given information, n is 15 and r is 6.

Q: How many ways are there to arrange 12 identical apples and five different oranges in a row so that…

A: Here, arrange 12 identical apples and five different oranges in a row so that no two oranges will…

Q: A regular six-sided die is tossed twice. On a piece of paper, write out all the possible outcomes.

A:

Q: A team of 7 players is to be selected from a group of 13 people. In how many ways can this be done?

A: Given data  A team of 7 players is to be selected from group of 13 people No of ways can be this…

Q: A class held a quiz bee for their different classes and students were awarded medals in different…

A:

Q: If a dealer randomly picks 5 cards from a standard deck that consists of 52 playing cards and then…

A:

Q: If a dealer randomly picks 5 cards from a standard deck that consists of 52 playing cards and then…

A: From the above data We are given that Total number of cards = n =52 No of selected cards = r =3

Q: A committee of 5 students is to be chosen from 6 boys and 5 girls 1. How many different 5-member…

A:

Q: Suppose there is a club of 15 people. In how many ways can a committee of 3 people be selected?

A: Our objective is to find the number of way

Q: A race has 10 runners. In how many ways can the first three places be decided?

A: Here use combination

Q: Suppose that a class of 20 students is assigned to write an essay.       Suppose 3 essays are…

A: Total number of students = 20 Total number of groups of selecting 3 essays can be obtained as:

Q: A researcher randomly selects 4 fish from among 8 fish in a tank and puts each of the 4 selected…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: In how many ways can 8 patients be assigned to 1 private (allowing 1 person only), 1 semi-…

A: here given , 8 patients be assigned to 1 private (allowing 1 person only), 1 semi private(allowing…

Q: A class is consist of 12 boys and 10 girls. In how many ways can the class elect 4 members of a…

A: We have given that the class consist 12 boys and 10 girls. Total number of members = 22…

Q: 5 different color dice are rolled, and the numbers showing are recorded. How many different outcomes…

A: 5 different color dice are rolled and the numbers are recorded. If two events E1 and E2 occur in…

Q: If 4 marbles are picked randomly from a basket containing 5 blue marbles and 8 yellow marbles, in…

A: This is the problem of combinatorial.

Q: How many ways are there to distribute 27 identical jelly beans among three children: a) Without…

A: Given: N=27 total number of jellys r= 3

Q: If you roll to fair dice (one black die and one white die), in how many ways can you obtain a 2 on…

A:

Q: At a baby shower 17 guests are in attendance and 5 of them are randomly selected to receive a door…

A: Combination Rule: The arrangement of r objects from n different objects is given by: nCr=n!r!n-r!

Q: Suppose a 5-card hand is dealt from a standard deck of 52 cards. How many 5-card hands can be formed…

A:

Q: How many ways are there to distribute eight different toys among four children if the first child…

A:

Q: In how many ways can 5 red and 4 white balls be drawn from a bag containing 10 red and 8 white…

A: It is given that, a bag containing 10 red balls and 8 white balls. From this bag 5 red balls and 4…

Q: Suppose that there are eight runners in a race. The winner receives a gold medal, the second place…

A: Given Suppose that there are eight runner in a race . The winner receives a gold medal the second…

Q: Suppose that 175 heads and 225 tails resulted from 400 tosses of a coin. Does this appear to be a…

A:

Q: 4. A committee of 6 officials is to be chosen from 8 men and 7 wor If the committee is to contain at…

A:

Q: If 7 coins are tossed, in how many ways can it happen that 5 coins fall tails?

A:

Q: A three-person committee must be formed from a group of 3 men and 3 women. It has been decided that…

A: 2 women and 1 man: We can pick 2 women from 3 women in 3C2 ways. We can pick 1 man from 3 men in 3C1…

Q: How many Hokey teams of 6 players can be formed from 14 players without regard to position played?

A: Given ,no.of hokey players =14

Q: 9 different color dice are rolled, and the numbers showing are recorded. How many different outcomes…

A: If we rolled one dice than the total outcomes are: 6 If we rolled two dice than the total outcomes…

Q: In a certain beauty pageant, there are 10 equally beautiful and talented candidates. In how many…

A:

Q: In how many ways can we distribute 10 indistinguishable oranges and 1 tangerine among 3 children…

A:

Q: In how many ways can first and second prize be awarded in contest with 100 people, assuming that…

A: There are 100 students in the contest.

Q: A class has 11 students. What is the probality that exactly 4 of the students were born on a weekday…

A: We have to find given probability.

Q: In a shipment of  62 vials, only 14 do not have hairline cracks. If you randomly select 3 vials from…

A: The number of vials is 62. The number of vials selected randomly is 3.

Q: A marching band consists of 11 pipers and 12 drummers.  Three of them are selected to march in order…

A: The number of ways in which n different objects can be arranged is given by n!, where…

Q: In how many ways can three committees of 8 persons be formed from 44 persons if the chosen persons…

A: The number of ways to select  r different objects from n different objects, can be given as, Crn…

Q: How many different arrangements are there for placing identical coins into three different piggy…

A:

Q: A particular brand of shirt comes in 12 colors, has a male version and a female version, and comes…

A: Here , particular brand of shirt comes in 12 colors. It has female version and male version. And it…

Q: If 8 subjects  are selected from the 12 that are available  and the 8 selected subjects are all…

A: Given that 8 subjects are selected from the 12 subjects. The selected 8 subjects are all treated at…

Q: A contractor builds homes of 9 different models and presently has 3 lots to build on. In how many…

A: We have to find no. Of ways..

Q: There are 10 participants to a barangay meeting to talk about safety measures to be implemented…

A: Here the total number of participants = 10 It is needed to arrange them in row , where , three of…

Q: A contractor builds homes of  11 different models and presently has 6 lots to build on. In how many…

A: We have to find the different ways can he arrange homes on these 6 lots...

Q: If a single card is drawn from a standard​ 52-card deck, in how many ways can a card other than a…

A: Given data: A standard​ 52-card deck

Q: A firm is considering expanding into 5 of 14 possible cities. How many different groups of 5 cities…

A: The combination formula is nCx = n! /(n-x)! x!

Q: Five cards are selected out of 52. In how many different ways can this be done if: they contain at…

A: If ways of occurrence of 1st event is m  And ways of occurring of the second event is n  And if both…

Q: How many full houses ( one pair and on three of a kind) are possible in 5 card poker?

A: Here we want to all  in 5 houses possible cards.

Q: 2) A class has 25 students. Each day, three students are chosen to present their work at the board.…

A:

Q: If they decide to purposely choose 2 of the 22 available dogs rather than randomly choosing any 2,…

A: Formula used: Crn=n!r!n-r!n!=n×n-1×n-2×.…2×1 Here given n=22 and r=2.

Q: A shipment of 40 computers are unloaded from the van and tested. 6 of them are defective. In how…

A:

Q: From a group of 10 men and 12 women, only 5 will randomly sit down in a row of 5 chairs. How many…

A: Solution :-