1. In how many ways can 8 students be seated in a row of 8 seats if 2 of the students insist on sitting beside each other? 2 How many differant formed from a standard deck gf 52 cards?

Q: A shipment of 50 calculators contains 3 that are defective. In how many ways can an inspector choose…

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Q: A jar contains 5 white balls, 8 black balls, and 6 red balls. In how many ways can 5 balls be…

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Q: h) How many ways can someone pick out who they think will finish 1st and 2nd in a car race with 8…

A: By using permutation and combination

Q: How many different ways can 3 outfielders and 4 infielders be chosen from 9 outfielders and 7…

A: Given: How many different ways can 3 outfielders and 4 infielders be chosen from 9 outfielders and 7…

Q: In a bucket there are 5 purple, 15 gray and 25 green balls. If the ball is picked up randomly, how…

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Q: From a standard​ 52-card deck, how many 7​-card hands consist of 5 clubs and 2 diamonds​?

A: There are total 13 clubs and 13 diamonds.  We can pick 5 clubs from 13 clubs in 13C5 ways. We can…

Q: In how many different ways can 12 people occupy the 12 seats in a front row of a mini theater ?

A: Given: The number of seats available is 12.  The number of people to be arranged in seats is 12.

Q: b) A drawer contains 14 white and 14 black socks, all unmatched. Ali is in a rush to school and has…

A: The pigeonhole principle is the base of counting along with the fundamental theorem of counting.…

Q: How many different 4 card hands can be dealt from a deck of 52 cards?

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Q: In how many ways can a hand of 6 diamonds be chosen from an ordinary deck? A hand of 6 diamonds can…

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Q: How many different 2 card hands can be dealt from a deck of 52 cards?

A: Here, 2 card hands can be dealt from a deck of 52 cards. That is, n=52 and r=2

Q: There are 10 people in a meeting. In how many ways can you arrange your participants around a ROUND…

A: Total ways in which 10 people be arranged around a round table so that 4 people sit beside each…

Q: How many ways are there to select 47 cards from a standard deck of 52 cards?

A: To find: The number of ways to select 47 cards from a standard deck of 52 cards. Concept used: The…

Q: Suppose that your friend owns 9 PlayStation games and you would like to borrow 4 of these games. In…

A: Permutation and combination used to calculate the number of possible ways to arrange or select a…

Q: There are five people at a volleyball tournament. In how many ways can a team of three be chosen?

A: The number of ways r items can be chosen out of n items is equal to C(n,r) . The formula for C(n,r)…

Q: There are 33 guests at your home for a dinner party. In how many ways could the guests arrange…

A: The objective of this question is to find out the number of ways in which 33 guests can arrange…

Q: How many ways are there to draw a heart or queen from a standard deck of 52 cards?

A: Given that 52 cards

Q: In how many ways can 4 bottles containing different drugs be arranged on a medicine cabinet?

A: In how many ways can 4 bottles containing different drugs be arranged on a medicine cabinet?

Q: how many hands of 33 cards can be made, where all cards are of the same suit?

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Q: How many different ways are there to choose a dozen donuts from the 21 varieties at a donut shop

A: The given information is that there are 21 varieties of donuts at a donut shop, and we want to…

Q: how many pairs (two cards with the same face and three cards with all different faces) are possible…

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Q: Find the Combination 11. From a standard deck of 52 cards, how many six-hand cards possible if there…

A: Problem 1  Introduction :-  We have to find number of possible combinations, from a standard deck of…

Q: Suppose you choose 3 cards from a standard 52-card deck. How many different choices are possible if…

A: The n factorial is defined as n!=n·n-1···2·1. There 4 kind of suit in the deck of 52 card and each…

Q: If you pick 4 cards without replacement from a standard deck of 52 cards, how many different…

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