1 How many ways can the letters of the word "PROMISE" be arranged so that the vowels always come together?

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

A:

Q: How many different ways can the letters of ​"attract​" be​ arranged?The number of different ways…

A: Fromula used:If there are n different objects in the system then the number of different ways of…

Q: How many ordered triples of letters are there taken from the letters A, T, C, and G?

A: given letters: A,T,C and Gtotal number of letters = 4

Q: How many strings of length two can be formed by using the letters A, B, C, D E and F without…

A: Given letters, A, B, C, D, E, F We have to find number of strings of length two

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

A:

Q: In how many ways can 3 boys and 3 girls sit in a row if the boys and the girls are each to sit…

A: Given,no.of boys=3no.of girls=3total no.of peoples=6

Q: In how many ways can the world " mount " be arranged

A: The given word is ‘mount’.

Q: In a group of people, 68 people can speak English, 45 people can speak in Arabic and 19 people can…

A: It is given that 68 people can speak English, 45 people can speak Arabic and 19 people can speak…

Q: Bob owns 15 different books. He wants to pick out and arrange 4 of these books left-to-right on a…

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Q: in how many ways can the 20 children in a third-grade class be paired up for a trip to the museum?

A: Given that, There are 20 children and we need to make them as pairs.

Q: How many strings of 12 ternary digits (0, 1, or 2) are there that contain exactly hree Os, five 1s,…

A: Strings of 12 ternary digits, 3 possibilities for each digit in the string, gives a total of 3^12 =…

Q: . How many different ways are there of handing out the prizes if (a) the prizes are all the same?…

A: A kindergarten class has 18 children. FIve of the children are selected to receive prizes. Here use…

Q: s can this be done, if the order of the choices is taken into s can this be done, if the order of…

A: Given Suppose we want to choose 2 letters, without replacement, from the 4 letters A, B, C, and D.

Q: Suppose we want to choose 6 letters, without replacement, from 10 distinct letters. (a) If the order…

A: From the provided information, We want to choose 6 letters without replacement from 10 distinct…