in how many ways the letter of the word STRANCE be arranged so that the vowels occupy only the odd place

1440

Step-by-step explanation:

We're given the word ‘STRANCE’ STRANCE happens to be a 7 letterered word. It contains just 2 vowels A and E, with 5 consonants S, T, R, N and C. We're told to arrange in a way that the vowels occupy only the odd places, so in the word, there exist 4 odd places. The 1st, 3rd, 5th and 7th spot.

The two vowels can be arranged in 4P2 ways. This means that the remaining 5 consonants can be arranged among themselves in a 5P5 ways. Using the permutation formula, we know that

P (n, r) = n!/(n – r)!, so

P (4, 2) * P (5, 5) =

4!/(4 – 2)! * 5!/(5 – 5)! =

4!/2! * 5! =

(4 * 3 * 2!)/2! * 5! =

(12 * 2!)/2! * 120 =

(12 * 2)/2 * 120 =

12 * 120 = 1440

in mathematics, a function is a relationship between two variables such that the value of one of the variables, called the dependent variable, is determined by the value of the other variable, called the independent variable. there is a specific term we use to describe the set of independent variables of a function.

explanation:

step-by-step explanation: