Q.2\ How many distinct sequence can we make using 3 letters "A"s and 5 letters "B"s? (АААВВBBB, AАВBBBBA, etc.)

Q: how many four digit numbers can be formed if all the digits are odd numbers and each digit can be…

A: Using the 10 digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9, here 4 digit numbers are formed in which all…

Q: How many 3 letter words can be made from 10 letters “FGHIJKLMNO” if repetition of letters (b) is…

A: letter words can be made from letters :"FGHIJKLMNO”

Q: How many different 5-digit even numbers can be formed from 0, 1, 3, 4, 5, 7, and 9 if repetitions…

A: The digits used to form the 5-digit even numbers is 0, 1, 3, 4, 5, 7, and 9.

Q: how many length twenty strings of a's, b's, and c's have ten a's, six b's, and four c's

A: 20!10!×6!×4! in which 20 is used for total string length.  10 for a's and   6 for b's , 4 for c's

Q: Find the sum of the first n terms of:

A: Sum of n terms of geometric seriesSn=a(rn-1)r-1where a= first termr=common ration= number of term

Q: How many ways can the top four cash prices be awarded in a lottery that sold 150 tickets if each…

A: here given scenario is with replacement ,

Q: How many 3 digit even numbers can be created if repetition of digits is allowed

A:

Q: How many second are there in a year

A: Solution: We know that, number of days in a year = 365 Number of hours in a day = 24 1 hour = 60…

Q: How many 4 digit numbers can be formed using only the digits 1, 2, 3, 4, 5,  6?

A: From the provided information, The digits are 1, 2, 3, 4, 5, 6 that is number of elements (n) = 6

Q: The numbers in the sequence 1,3,6,10,15,21… are called as triangular numbers. Determine the 15th…

A: Consider the given triangular numbers sequence: 1,3,6,10,15,21... Here, the objective is to find the…

Q: n a factory 600 suits are prepared 9 days on 20 machines. How many will be produced on 18 machines…

A: Given, in a factory 600 suits are prepared 9 days on 20 machines.

Q: how many sequences of 2n letters can be formed using n distinct symbols if each symbol is used…

A:

Q: Find the sum of 1 + 3 + 9 + 27 + … to 12 terms.

A: =1+3+9+27+...+n.  in this a1=1,a2=3            r=a2/a1=3/1=3            s=(a(rn -1))/(r-1)…

Q: a) How many area codes were possible with this arrangement? How many telephone numbers does the…

A:

Q: Assume that you select digits from the set {2,3,5,7} to form a number between 20 and 700. (1) How…

A: The given set of digits is 2,3,5,7 and the range of numbers is 20 to 700. There would be 2 digit…

Q: How many 4-diğit humbérš čâh bě fórméd from the digits 1, 3, 5, 6, 8, and 9 if no repetition is allo…

A: Given digits 1, 3, 5, 6, 8 and 9 (Total 6 numbers) We want to find number of 4 digit numbers such…

Q: ay be formed using the digits 2, 3, 4, 6 and 9 if repetitions

A: 22,23,24,26,29,32,33,34,36,39,42,43,44,46,49,62,63,64,66,69,92,93,94,96,99. In unit digit place we…

Q: 15, 9,3, -3, how do you find the next term

A:

Q: How many different sequences of 5 ternary digits (0, 1, 2) are possible? The number of different…

A: There are total 3 choices for each digit. We will have to pick 5 digits. Each digit can be picked in…

Q: A 16-bit string is a sequence of 16 symbols, each symbol a 0 or a 1. How many 16-bit strings are…

A: A bit string is a sequence of  symbols, each symbol a  or a We have to find the possible number of…

Q: Q3/ How many three digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9 such…

A:

Q: How many ways that 2 girls and 4 boys can fall in a line of there must be a girl and a boy in the…

A:

Q: From the digits 4,3,6,1,5 and 7. How many 4 digit numbers can be made w/o repetition that are more…

A: The number of permutations of n objects taken r at a time is determined by the following formula:…

Q: what is the sequence of positive whole numbers

A: To find the sequence of positive while number.

Q: Certain automobile license plates consist of a sequence of three letters followed by four digits. If…

A: We have a license plate that consists of a sequence of three letters followed by four digits. The…

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

A: The number of digits need to be formed is five. The first two digits are odd and the last three…

Q: How many three-digit number with no repeat can we make using digits from {1,2,3,4,5}

A: three-digit number with no repeat can we make using digits from {1,2,3,4,5} here we have 5 choices…

Q: a) Write down the missing terms in the following sequence: 13, 17, 21, 29, 37, - b) She continues…

A: The general form of an Arithmetic Progression(AP) is a, a + d, a + 2d, a + 3d where 'a' is the first…

Q: How many seven-digit numbers can be made from the digits 1 to 9 if repetition is allowed?

A: Given that  To find the number of ways of 7 digit number can be made from the 1 to 9