How many arrangements are there of the letters of the word MATHEMATICS in which all the vowels appear consecutively?

Q: How many ways can 6 boys stand in a line if a certain boy must come first?

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Q: (a) A company that makes crayons is trying to decide which 5 colors to include in a promotional…

A: Here use combination theory

Q: How many combinations can the seven colors of the rainbow be arranged into groups of three colors…

A:

Q: There are disticnt arrangements of the word SLEEPLESSNESS " if "SLEE" goes together in any order.

A: given word is " SLEEPLESSNESS"letter "E" is repeated 4 timesletter "s" is repeated 5 timesletter "L"…

Q: How many arrangements can be made from the letters of the word

A: Given, the word                   GODDESS

Q: How many ways exist to arrange 7 books (A, B, C, D, E, F, and G on the shelf,  if the books B and

A:

Q: Find the Combination An investigation committee with eight members is to be formed from group of…

A: Given,no.of teachers=7no.of student leaders=9

Q: A photographer wishes to arrange 7 children consisting of 3 boys and 4 girls in a straight line for…

A:

Q: How many different 11-letter words (real imaginary) can be formed from the letters in the word…

A: We have to find the total number of 11-letter words that can be formed from the letter in the word…

Q: How many different routes can a saleswoman have if she must visit eight different companies in a…

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Q: If there are 13 possible project topics and 6 students must choose from the available topics, how…

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Q: There are a 100 marbles in a bag. Among the 100 marbles, there are marbles of 5 different colors…

A: Given::- There are a 100 marbles in a bag. Among the 100 marbles, there are marbles of 5 different…

Q: How many ways can all the letters in the word EDUCATION can be arranged if all the vowels are right…

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Q: Consider two A.P.'s: S₁: 2, 7, 12, 17,... 500 terms and S₂: 1, 8, 15, 22, ... 300 terms Find the…

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Q: Ashu purchased seven distinct supercars and a garage with 10 consecutive spots numbered 0-9. He…

A: Ashu purchased seven distinct supercars and a garage with 10 consecutive spots numbered 0-9. He…

Q: How many ways can all the etters in the word EDUCATION can be arranged if all the vowels are right…

A: The word education has 9 letters in which 'AEIOU69f4fc43-162e-4e8b-82a6-efea9c821b47' are vowels.…

Q: Out of 800 families with 5 children each how many would you expec to have i) 3 boys (ii ) either 2…

A: Given: Total number of families=800Number of children=n=5

Q: list down 10 examples each for inductive and deductive reasoning

A: Inductive reasoning:--- 1. The cost of goods was $1.00. The cost of labor to manufacture the item…

Q: Find the number of arrangements of the letters in the word EMERGE in which (a) all the 3 letters E…

A: Given word is EMERGEletter E is repeated 3 times total no.of letters in the word  EMERGE  =6

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: A license plate has the form YYY-MATH, in which Y is a digit from 1-9, M has to be the number 5, A…

A: First we will find the number of choices for each then multiplying those choices will give us How…

Q: Suppose you have 9 shirts to pick from and 10 pants to pick from. You want to know how many outfits…

A:

Q: The average of 3 numbers is between 7 and 10. The sum of the numbers could be any of the following…

A: Given that:-The average of 3 numbers is between 7 and 10.let, the three numbers are N1, N2 &…

Q: A boy has a collection of 20 pennies, 8 nickels, 10 dimes and 15 quarters. How many coins must the…

A: ANSWER :

Q: How many different ways can the ranks for the three of a kind and the pair in a full house hands be…

A: Selecting the rank for the three of a kind: There are 13 ranks in a standard deck of cards (2, 3, 4,…

Q: In a large math conference with 2022 participants, each person shakes hands with some number of…

A: For 'n' number of participants the maximum number of handshakes is n(n-1)/2.