14 players for a softball team show up for a game: (a) How many ways are there to choose 10 players to take the field? 1001 (b) How many ways are there to assign the 10 positions by selecting players from the 14 people who show up? (c) Of the 14 people who show up, 4 are women. How many ways are there to choose 10 players to take

Q: Assume that you have a 52-card deck at hand and you are planning to draw 6 cards from the deck. How…

A: We have,Number of cards in deck = 52Number of cards are planning to draw from deck = 6

Q: Given. 39 cos(x²) dx Do the following. (a) Find the approximations T8 and Mg for the given integral.…

A: a) By trapezoidal rule, ∫abfxdx ≈Δ x2fx0+2fx1+...+2fxn-1+fxn and by midpoint rule ∫abfxdx ≈Δ…

Q: Joe has 6 favorite baseball teams, and he put their flags on his flagpole in random order. How many…

A:

Q: How many different ways are there to select three dozen colored roses if red, yellow, pink, white,…

A: Solution-:Given: Available roses - red, yellow, pink, white, purple, and orange We want to find how…

Q: A volleyball team has ten players. To play a game, 6 players are needed to play positions numbered…

A: No. of players in the volleyball teamNo. of players needed to playThe positions are numbered from…

Q: How would I solve the following problem: Of five letters (A, B, C, D, and E), two letters are to be…

A: Ans#- Given,           Five letters (A, B, C, D, and E), two letters              are to be selected…

Q: In a survey of 426 people, a pet food manufacturer found that 92 owned a dog but not a cat, 103…

A: Determine how many owned both a cat and dog. From the information, given that   Number of people…

Q: Bryan decides to have a movie marathon if he has 6 movies he wants to watch but only has time to…

A: Combination: It means selection. If there are n number of item out of which r to be chosen then the…

Q: Mr. H has a collection of 500 vessels. In how many ways can he name his favorite and second favorite…

A:

Q: Joe has 6 favorite baseball teams, and he puts their flags on his flagpole in random order. How many…

A: Solution

Q: How many ways are there to choose first, second, and third prizes in an art contest with 18 entries?

A: Introduction:According to the permutation rule, if r distinct items are to be chosen from n items…

Q: A student has 7 books on his deck. In how many different ways can he select a set of 3?

A: student has 7 books on his deck. No. of different ways to select set of 3 = ?

Q: There are 30 people in the class. We need to select 5 people to form a the committee, how many…

A:

Q: 10 people is choosing a chairperson and vice chairperson

A: Given that   A group of 10 people = (n)=10 We have to select two people from total 10 people.…

Q: 8 people stand in line at a movie theater. Into how many different orders can they be arranged? 40…

A: 1. Number of people standing in a line = 8 If the people are arranged in a line at a movie theater,…

Q: A survey of 1900 commuters in New York City showed that 1120 take the subway, 620 take the bus, and…

A: Introduction:  Consider the commuters to be a sample of universal set and similarly for the subway…

Q: How many ways are there to choose an arbitrary number of students (including the possibility of…

A: by using C(n,r)=n!(r!(n−r)!)

Q: An engineer is putting together a train with 5 box cars, 3 tank cars, and 4 flat cars. For the box…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: There are 20 members of the debate team, including 9 girls and 11 boys. Complete parts (a) through…

A: Given 20 members=9 girls and 11 boys  r!=r(r-1)(r-2)x...x3x2x1

Q: In a survey of 426 people, a pet food manufacturer found that 143 owned a dog but not a cat, 59…

A:

Q: A small company of 30 employees needs to choose 6 people to plan out their annual holiday party Each…

A: A small company of 30 employees needs to choose 6 people to plan out their annual holiday party.

Q: How many ways to choose 4 out of the 10 candidates to be sent to a conference?

A: Combination Rule: The arrangement of r objects from n different objects is given by:

Q: . How many different ways are there of handing out the prizes if (a) the prizes are all the same?…

A: A kindergarten class has 18 children. FIve of the children are selected to receive prizes. Here use…

Q: Assume that you have a 52-card deck at hand and you are planning to draw 5 cards from the deck. How…

A: The number of cards in the deck is 52.The number of cards to be drawn is 5.In order to obtain a…

Q: survey of 1900 commuters in New York City showed that 1180 take the subway, 650 take the bus, and…

A: