Important Question In a school, 100 students have access to three software packages A, B and C.                                   28 did not use any software   ,   8 used only packages A                                                                             26 used only packages B      ,    7 used only packages C.         10 used all three packages.  ,    13 used both A and B. How many students used package C

Q: A bag contains 3 red marbles, 2 green ones, 1 lavender one, 1 yellow, and 3 orange marbles. HINT…

A: Given that there are 3 red marbles, 2 green ones, 1 lavender one, 1 yellow, and 3 orange marbles. So…

Q: 19 A food buffet selection has four (4) main ingredients (beef, seafood, chicken, and vegetables)…

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Q: How many ways can we assign 124 students to 4 sections in such a way that Section 1 must have at…

A: Given: There are 124 students and 4 sections Section 1 must have at least 30 students, section 2…

Q: Six people attend the theater together and sit in a row with exactly six seats. Suppose the group…

A: Given,no.of men =3no.of women=3total no.of people=6

Q: How many ways can a cricket team of 4 bowlers and 7 batsmen be formed from a group of 8 bowlers and…

A: GIVEN DATA : There are 8 bowlers and 11 batsmen       TO FIND : Number of ways a cricket team formed…

Q: A student has 15 video games: 4 adventure games, 4 arcade games, 2 puzzle games, and 5 sinmlation…

A: Given,no.of adventure games=4no.of arcade games=4no.of puzzle games=2no.of simulation games=5total…

Q: Q9. A search committee was formed to find a new software engineer from a set of 50 applicants. The…

A: From the given information, the number of candidates selected for an interview (n) is 8 and the…

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Q: 4. What is the number of different ways to divide a group of 20 people equally into 2 sub-groups?

A: Permutation and combinations

Q: (d) If you create an ordered list of 4 cars completely at random (that is, any car is equally li be…

A: As per your Requirement  I  have calculated  D part only

Q: Ashu purchased seven distinct supercars and a garage with 10 consecutive spots numbered 0-9. He…

A: Ashu purchased seven distinct supercars and a garage with 10 consecutive spots numbered 0-9. He…

Q: You have 6 books that you want to donate, and there are 20 poor students. In how many ways you can…

A: The number of ways to select r things out of n is given by the formula nCr=n!r!(n-r)!. First,…

Q: Suppose your professor wants you to choose 5 exercises from an exercise set containing 55 exercises.…

A: There is a set of 55 exercises.

Q: Ten international students who include four males and six females are friends. Each of the four male…

A: Follow the steps.

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Q: In how many ways can four boys and five girls sit in a row if the boys and girls must sit…

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Q: How many students are taking at least one of the three classes?

A: Concept:   The number of ways of achieving success that is the total number of possible outcomes is…

Q: An executive as 8 skirts, 8 jackets, and 10 blouses that all coordinate. If an outfit consists of…

A: Given, Number of skirts=8 Number of jackets=8 Number of blouses=10 An outfit consists of 1 skirt, 1…

Q: What is the minimum number of students required in a Mathematics class test to be sure that at least…

A: We need to use the pigeonhole principle.  We need to find the minimum number of students that are…

Q: There are 4 routes from A to B, 8 routes from B to C, and 12 routes from C to D. How many routes are…

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Q: In a class , there are 6 boys and 5 girls . How many ways can we form a committee / group / team of…

A: Using permutations and combinations we can solve for the total number of ways in which a group of 6…

Q: Suppose, you have 3 different caps, 4 different shirts, 3 different pants and 3 pairs of socks and 2…

A: Depends on given data total outfits 3x4x3x3x2= 216  No need to wear socks and caps So total ways…

Q: Q9. A search committee was formed to find a new software engineer from a set of 50 applicants. The…

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Q: A restaurant that is famous for its desserts offers 100 different dessertst Of these desserts, 45…

A:

Q: The annual National No Spying Day is celebrated at KAOS headquarters this year. There are 11 Control…

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