Which of the following gives the number of permutations of n objects taken r at a time? n! n! D. (n-r) С. If P(n, 4) = 5040, what is the value of n? C. 8 A. B. n-rl rt(n-r)! A. 10 В. 9 D. 7

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A: Here we will find out the required value.

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A: using the concept of determinant.

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A: Consider  a.   9+(-23)=(-23)+9 b.    (3+13)+7 = 3+(13+7)c.     -14(5+7)=(-14)(5)+(-14)(7)

Q: 1. Given that m= -3, n = 2, p = -1 Find: m (p – n)2 _____3p + m Select one: a. 4½ b. 27/8 c.…

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Q: 34. In a family, each boy has as many sisters as brothers, but each sister has only half as many…

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Q: Suppose U = {1, 2,..., 9}, A = all multiples of 2, B = all multiples of 3, and C = {3, 4, 5, 6, 7}.…

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Q: If n(A) = 39, n(B)=23, and n(An B)= 3, find n(A U B). OA. 59 OB. 65 O C. 56 O D. 62

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Q: Vn E N için, 1.5 + 2.5² + 3.53 + ...+ n. 5": 5+(4n-1)5n+1 %3D 16 dır.

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Q: 5 C2n-5 a. n-1 250 Σ b. c. 5.

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Q: 5. A. undefined B. 2 × 2 Consider (a) What is the size of QTP-¹? P= A. -1.5 B. -2 = [1 C. 2 × 4 D. 4…

A: Given: The matrix P=4611 and Q=22341-120 a) Find the size of the matrix QTP-1 b) Find the entry 2,1…

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Q: Q. 5. Show that "-C, 1+"C, =" C, . n-1

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Q: U = {-V6,-5, –4.5, –4, –3, – 2.8, – 2, –1,0,1, /2, 2, V5, 3, V10,- 2' ,4,5, 6,7, 8, 9, 10, 11} A =…

A: Given universal set U=-6 , -5 , -4.5 , -4 , -3 , -2.8 , -2 , -1 , 0 , 1 , 2 , 2 , 5 , 3 , 10  ,72 ,…

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Q: 1. If 5(2x – 5) = 10, then x = ? A. -2.5 B. - -1.5 C.2 D 3.5 2. If –5x+369 = 2, then x = ? 2 A. -8…

A: (1). The given equation is: 52x-5=10   ...(1)

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Q: 1. Consider each addition problem. Is the sum positive? Select Yes or No for A-C. A. -18 + 27 + (-…

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A: For more details see the example shown below-

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Q: q.3

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Q: Suppose that E-1 ak = -2 and E=1 bk = 5. Find the values of n k=1 and n 2(ak + bk) k=1

A: To find the values