13. Which of the following expressions represent D. 480 the number of possible ways choosing 3 different kinds of food from a menu of 10? 10! 10!

Q: How many arrangements are there of the letters of the word MATHEMATICS in which all the vowels…

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Q: How many books must you choose from among a collection of 7 mathematics books. 18 books of short…

A: Given information  No of mathematics book = 7 No of short stories books = 18 No of chemistry books =…

Q: n 21. if an+1 = an an 2n + 3 n=1

A: We have, an+1=n2n+3an Substitute value of n=0,1,2,3,4,..... At n=0, a1=020+3a0a1=0 At n=1,…

Q: Three-digit numbers are formed from the digits 0,1,6,7,8 and 9 if no repitition is allowed d. how…

A: The given digits are 0, 1, 6, 7, 8, and 9.

Q: A fan of country music plans to make a custom CD with 12 of her 27 favorite songs. How many…

A: given data A fan of country music plans to make custom CD with 12 of her 27 favourite songs. no. of…

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Q: Let the set B={−23,−16,−7,−2,20,36,48,72}. How many ways are there to choose a positive or an odd…

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Q: An order comes in for four standard tables and four standard chairs, constructed using Pine wood.…

A: Firstly understand the use of each character and then apply it to the question given

Q: using technolgy to find teh number of ways 17 employees can be chosen from 200

A: We have given that Total number of employees (n) = 200 Number of employees to be selected(r) =17…

Q: How many different sets of 4 initials can be made from the letters of the English alphabet? (Hint:…

A: Since we know that there 26 letters in English alphabet

Q: Remember that we can write n as a sum of n ones. How many plus signs do we use? Question: In how…

A: Since given that for n=5 and k=3the composition of n into k partsFor instance, n=5 as a sum of a…

Q: How many different five-digit numbers can be formed from the digits 1, 2, 3, 4, 5 where: No…

A: Here we have to find no of ways to find different five digit numbers.

Q: In how many ways can we compose a word of 3 letters from the set {X, Y, Z, F, S} if repetition is…

A: Given, Letter set  = {X, Y, Z, F, S}  words should be 3 letters,

Q: Integers a and b are such that (a+3-5)² + a- b,5 = 51. Find the possible values of a and the…

A: Note: It is assumed that the equation is a+352+a-b5=51.   It is known that x+y2=x2+2xy+y2.

Q: 3S+8 2) L S42845 s428+5)

A: We need to find , Inverse Laplace Transform, of F(s) = 3s + 8s2 + 2s + 5 Since , F(s) = 3s + 8s2 +…

Q: For how many n Ee {1,2, ..., 550} is n a multiple of one or more of 9, 4, or 7?

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Q: let a.b.c.d be for consecutive number show that (a.b.c.d)=1

A: Given that: let a.b.c.d be for consecutive number Show that (a.b.c.d)=1

Q: How many 3-digit number can be formed from the digits 0,1,2,3  a. if no two digits are to be the…

A: * SOLUTION :-  from the given information the calculation is given below

Q: Q50 on page 159: Evaluate the following postfix expressions. a. 5 7 8 * + b. 578+ * c. 5 7 +8 * d. 1…

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Q: 10:32 Let A 3 4 5 6 93 R=12 3 7 8 9 10 X

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Q: Given: B = (xI20 < x < 50 and x is divisible by 7 }, find n(B). a. 30 b. 20 c. 10 d. 5

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Q: How many unique ways can the letters for M-A-X-I-M-U-M be arranged?

A: To find the number of ways that the letters can be arranged.

Q: How many different 2-digits numbers can be formed from the digits in the number 235? O A. 6 O B. 3 O…

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Q: i Likes Dislikes Likes 26 14 Country Dislikes 17 8. How many students dislike both country and jazz…

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Q: Suppose A, B, C, D, E and F are six students. How many ways can they be seated in a row if: There is…

A: Given:  Total number of people=6 To determine: There is no restriction on the seating. A and B must…

Q: Let A = {a, b, c, d}. Find the number of 3-combinations of A where repetition of symbols is allowed.

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Q: s={1,2,3,4,....,15} ​A: The selected number is even. ​B: The selected number is a multiple of 4.…

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Q: Which expression shows the number of games in a sports league with 18 teams, if every team plays…

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Q: The stem-and-leaf display below gives the number of minutes that customers waited for their orders…

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Q: Evaluate the expression. [16 +(-4)](- 4) O A. 32 B. - 16 C. O C. 1 O D. 16

A: Given: [16 + (-4)](-4)   step 1: calculate the value in square brackets ( [] ) =&gt; 16 + (-4) = 16…

Q: In how many ways can a hand of 9 diamonds be chosen from an ordinary deck? How can the problem be…

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Q: Which notation expresses the number of permutations of 7 items taken 6 at a time? Choose the correct…

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Q: Q12. Fill in the missing element of B such that A = B. A = {7, 19, g, #, 2, 4, &, f, 16, 1, k} B =…

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Q: How many ways can the letters of the word "COURSE" be arranged if "SER" must be next to each other…

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