Consider Fib (3) = 2. What do you notice about every third Fibonacci number, i.e. Fib (6), Fib (9), Fib (12), ...? Similarly, look at Fib (4) = 3, then check out every fourth Fibonacci number, ie, Fib (8), Fib (12), Fib (16), ...What seems to be the pattern behind these sequences generated from Fibonacci numbers? %3D

Q: 2021 2021 2021 What is the last digit of 5 + 6° 2? (A) 3 (B) 5 (C) 7 (D) 9

A: To find the last digit of any number , divide the number by 10 and get the remainder .The last digit…

Q: (a) How many three-digit nos. can be formed from the digits 0.1.2.3.4.5 & 6 if each digit can be…

A:

Q: If repetition of digits is not​ allowed, how many four​-digit numbers can be formed using the…

A:

Q: How many terms are there in the G.P. 3, 6, 12, 24, .... 384. '

A:

Q: 7. A company is forming passcodes for its employees. Each code will consist of 4 letters, with no…

A:

Q: How many seven-digit numbers can be formed with the first two digits odd and the last five digits…

A: The total number of digits from 0 to 9 is 10.

Q: Determine the number of distinguishable permutations of 10 objects where object A occurs 2 times,…

A: Determine the number of distinguishable permutations of 10 objects where object A occurs 2 times,…

Q: Some of these are permutations and some aren’t exactly. You don’t need to find the answer, you just…

A: Permutations: By permutation, we mean to arrange the objects in order. In permutation, the order of…

Q: 1. (6+8) ÷(12 – 5) 12 – 4 3. 5 + 3 5. 20 – 12 ÷ (1+3) × 2 - 7. 3+ 12

A: If you like the solution then please give it a thumbs up... The Answer is:     Result:           1.…

Q: • Suppose repetitions are not permitted. (a) Find the number of three-digit numbers that can be…

A: There are several powerful methods for counting objects and sets of objects without actually having…

Q: Show that /2, /3, 5 cannot be the terms of a single A.P.

A:

Q: Ifn(A)=5,n(B)=11and? ?∩? =3,whatis? ?∪? ?

A:

Q: 4, and 6 if no digit is repeated in any number? a. b. repetitions are allowed?

A:

Q: Given any set of 15 integers, must there be two that have the same remainder when divided by 12?…

A:

Q: Box 1 contains three cards bearing numbers 1, 2,3, box 2 contains five cards bearing numbers…

A: Given data: *The box 1 contains three cards with numbers 1, 2 and 3. *The box 2 contains five cards…

Q: How many 7-digit telephone numbers are possible if the first digit cannot be four and (a) only odd…

A: Total digits :  0,1,2,3,4,5,6,7,8,9  7-digit telephone numbers= ?  First digit can not be 4

Q: How many three-letter "words" (some may be nonsense words) can be made from 4 letters "FGHI" if…

A: Permutation and combination used to calculate the number of possible ways to arrange or select a…

Q: /6)^3 * 5 * (1/5)^2 as the possibility for just one roll. But I an to ask that in the sense of what…

A: *Answer:

Q: How many ways are there of arranging the 26 letters of the alphabet so that none of the words be,…

A:

Q: Consider Fib(3) = 2. What do you notice about every third Fibonacci number, i.e. Fib (6), Fib(9),…

A: We have to find the pattern between the numbers of a Fibonacci sequence.

Q: John was born on February 28, 1999. It was a Sunday. February of that year had only 28 days, and the…

A: John’s birthday on 28 February 1999. Jacks birthday on 29 the February 2000. The total number of…

Q: a) How many arrangements (b) How many arrangements are there of the letters of KNICKKNACKS? are…

A:

Q: Hey! I need help with a question which states the following: How many 7-digit ID numbers are…

A: This is a combinatorics problem. The answer is in step 2.

Q: Claim. Among any 4 integers, there are two, a and b, such that a² – 6² is divisible by 5. Proof. We…

A: This is a simple consequence of using the division algorithm. The solution has been attached in step…

Q: What is the place value of digit 2 in 4235six ?

A: We have to tell the place value of digit 2 in 4235six

Q: (a) If repetition of digits is not​ allowed, how many four​-digit numbers can be formed using the…

A: Solution: a. The given digits are 1, 2, 3, 4 and 5. Here, the repetition is not allowed.

Q: Simplify the following: (n + 1)! 5. (п — 1)! 1.8! - 2.13! – 5! 10! 3. 7! 2! 4. 7! + 0! n! (n + 1)!…

A: The operator "!" denotes the factorial of a number. The factorial of a non-negative integer n is…

Q: How do you get 0.3413 from in part b of the question?

A: The mean is 50 and the standard deviation is 5.

Q: .. Consider the word "ADDISABABA" In how many ways can the letters of the word be arranged? In how…

A: