A box of 15 spark plugs contains three that are faulty. In how many ways can 4 spark plugs be selected so that a. one of the faulty spark plugs is selected b. two of the faulty spark plugs are selected c. no defective spark plug is selected c. A’ ∩ C

Q: 6. A survey in the year 2020 asked families whether they owned a hermit crab, a turtle, or a snail.…

A: Let H, T and S be the set of families who owned a hermite crab, turtle and snails respectively. H…

Q: 6. A club with 20 heterosexual couples (40 people) needs a committee of 4 people. Determine how many…

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Q: Assessment: Directions: Answer the following applying the formula for the permutation and…

A: we know tha C(n,r)= n!/(r!(n-r)!) and P(n,r)=n!/(n-r)! see 2nd ,3rd and 4th step.

Q: If a(3, 4) – b(2, 4) = (8, 10), determine a and b.

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Q: 5. Given A(1, 2), B(4, 9), and C(-4, 8), find the measure of ZA.

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Q: List all the combinations of four objects x, y, z, and s taken two at a time. What is C,?

A: The objects are given by {x,y,z,s}

Q: 19. f(x) = x - 4, g(x) = Vx + 5, x 2 -5 %3D

A: Consider the functions f(x) = x – 4, g(x) = √(x + 5), x ≥ –5

Q: ave a single slot. Suppose that eight of the 20 radios are randomly selected to be stor the number…

A: Note: As per the students requirement solving b and c The probability density function of Hyper…

Q: A survey asked 243 people what alternative transportation modes they use. The results are below.…

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Q: List all the permutations of four objects a, b, c, and d taken three at a time without repetition.…

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Q: If A={2,4,6,8,10,12,14} and B={1,3,6,9,12,15,18,21}. Find A∪B.

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Q: A 10-sided die will be rolled three times.   Find P( first roll > 6   OR   second roll > 6   OR…

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Q: State whether each arrangement represents a permutation or a combination.   a. 8 people seated…

A: Arrangement classification- Permutation or Combination

Q: 37. How many sets of five marbles include at least two red ones? ANSWER I 100

A: We have to find nom of combinations.

Q: If A = {1, 2, 3, 4, 5}, B = {1, 3, 4, 6}, C = {1, 6, 7}.

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Q: 3. A sports team has ten long distance runners, eight sprinters and five jumpers. A team of three…

A: (3) No.of long distance runners = 10 No.of sprinters = 8  No.of jumpers = 5 consider that a team of…