A  box contains 8 ten-peso coins and 5 five-peso coins. In how many ways can 3 coins be drawn in such that                 (a) they are all ten-peso coins?                 -                 (b) they are all five-peso coins?                 -                 (c) 1 is a ten-peso coin and 2 are five-peso coins?

Q: There are 80 animals on a farm. 52 of the animals are chicken (a) what fraction of the animals are…

A: Given, Total number of animals = 80 Number of chicken = 52 Using formula,

Q: In how many ways can a family of seven be seated at a round table if two brothers must sit together?…

A:

Q: An employment agency has 8 temporary workers. (a) In how many ways could 5 of them be assigned to…

A: The agency has 8 workers.  (a) Out of the 8 employees can be selected in 8C5 = 56 different ways.…

Q: In how many ways can we arrange 3 boys and 3 girls in a circular table if:  All boys and girls are…

A: Given, 3 boys and 3 girls       To find, In how many ways can we arrange them if all boys and girls…

Q: How many ways can the top four cash prices be awarded in a lottery that sold 150 tickets if each…

A: here given scenario is with replacement ,

Q: n consists of 10 albums, each containing 42 pages. How many stamps are in the total collection if 40…

A: Introduction: Different symbols are used in mathematics. One of the most common math symbols is the…

Q: ... Question 2 / (1.5 Marks) What is the number of ways that 15 people can be seated in a circle?

A: In question, We find the number of ways that 15 people can seated in a circle. The solution is…

Q: In how many ways can 5 letters be posted in 4 post - boxes?

A: We have 5 letters with us and 4 post-boxes.  Now, any letter can be put in any post-box.

Q: 11: Find the sum of the first 22 terms of the AP : 8, 3, -2, . .

A: Sum of first n terms of a Arithmetic Progression with first term a and common difference d is  Sn =…

Q: In Connecticut, auto license plates carry 3 digits followed by 3 letters. (Assume the first digit…

A:

Q: In how many ways can seven people be seated at a round table if 2 particular people must not sit…

A:

Q: how many ways can you put salt , pepper and salt in 3  differnt  plates

A: Salt , Pepper and salt - 3 items                             _  _  _             - 3…

Q: How many three-letter "words" can be made from 5 letters "FGHIJ" if repetition of letters (a) is…

A: Given5 letters is "FGHIJ"No.of letters = 5

Q: In how many ways can 10 people be seated in 10 adjacent seats in a theater?

A: Given: In how many ways can 10 people be seated in 10 adjacent seats in a theater. We need to…

Q: In how many ways can 5 persons be seated in a room where there are 10 seats?

A: We have to find number of ways to seat people in room.

Q: b) Suppose that repetition of letters is pemitted, How many 6 letter can be fomed from the letters?

A: Now we have to calculate ,how many 6 letter can be formed if repetition is permitted.

Q: In how many ways can a commission consisting of 2 deans and 3 vice deans be formed from among 4…

A: GivenNo.of deans=4No.of vice deans=8

Q: In how many ways can 15 different pizza toppings be chosen from 22 available toppings? There are…

A: No. of available toppings=22No. of pizza toppings to be chosen=15

Q: Keith borrowed a total of $30 by borrowing the same amount of money from 5 different friends. How…

A: Given: Total amount borrowed by Keith from 5 different friends= $30 To find : Money owed by Keith to…

Q: What is the largest sum of money-all in coins, with no silver dollars-that I could have in my pocket…

A:

Q: 8 people are trying out for 3 cheerleader spots on the team. In how many ways can this be done?

A: 8 people are trying out for 3 cheerleader spots on the team. In how many ways can this be done?

Q: n how many different ways can you order three dozen donuts if there must be at least 2 chocolate…

A: 10 different types of donuts No of ways, We can order 3 dozen donuts.

Q: An employment agency has 6 temporary workers. (a) In how many ways could 4 of them be assigned to…

A: (a) It is required to find the number of ways in which the workers can be assigned to the research…

Q: In how many ways can 8 different pizza toppings be chosen from 14 available toppings? There are ways…

A:

Q: How many different arrangements can b

A: Given the word          "SIPNAYAN"

Q: In how many ways can 3 letters be put in five boxes

A: Number of boxes available = 5 Number of letters = 3 Hence, the number of ways in x letters can be…

Q: How many ways can 3 red bulbs, 4 yellow bulbs, and 5 green bulbs be arranged in an electric wire…

A: Given, Let n1 be the 3 red bulbs Let n2 be the 4 yellow bulbs Let n3 be the 5 green bulbs and there…

Q: 6. How many ways can my daughter put 50 pairs of shoes on 4 dolls ?

A: It is given that, We have 50 pairs of shoes and there are 4 dolls. We know that if n object can be…

Q: n crayon box contains 2 green, 3 yellow and 4 blue crayons. In how many ways can one choose 3…

A:

Q: How many ways can be made out of the letters in the word HONESTY taking four letters at a time?

A: Given : A word HONESTY

Q: 6) Joy is making hand-painted ornaments for her family this year. Yesterday, she made 2 ornaments in…

A: Given Information -  Joy made 2 ornaments in 412 hours = 92 hours We have to find in 36 hours how…