How many distinguishable permutations are in the word education?

How many distinguishable permutations are in the word education?


How many ways the word education can be arranged?

No 2 vowels together = the only arrangement possible will be V C V C V C V C V (with V=vowel, C=consonant). This is true as we have 5 vowels and 4 consonants and any other combination will force us to pair 2 vowels together. Thus, the number of arrangements possible : 5 *4 *4 *3 *3 *2 *2*1 = 5!* 4!

What is a permutation of a word?

A permutation is an arrangement of all or part of a set of objects, with regard to the order of the arrangement. For example, suppose we have a set of three letters: A, B, and C. We might ask how many ways we can arrange 2 letters from that set. Each possible arrangement would be an example of a permutation.

How many vowels are in the word education?

5 vowels

How many consonants are in the word education?

4 consonants

What is relative position of vowels and consonants?

As the relative position of the vowels and consonants in any arrangement should remain the same as in the word EDUCATION, the vowels can occupy only the afore mentioned 4 places and the consonants can occupy1st,2nd,4th,6th and 9th positions. The 4 vowels can be arranged in the 3rd,5th,7th and 8th position in 4!

Why is an hour not an hour?

An hour is correct, because “hour” begins with a vowel sound. A vs. an depends on pronunciation, not spelling.

Why is an hour an hour?

They are so named from the false belief of ancient authors that the Babylonians divided the day into 24 parts, beginning at sunrise. In fact, they divided the day into 12 parts (called kaspu or “double hours”) or into 60 equal parts.

Why is 60 minutes an hour?

Who decided on these time divisions? THE DIVISION of the hour into 60 minutes and of the minute into 60 seconds comes from the Babylonians who used a sexagesimal (counting in 60s) system for mathematics and astronomy. They derived their number system from the Sumerians who were using it as early as 3500 BC.

Why is a day 24 hours on Earth?

Owing to its revolution around the Sun, the Earth must rotate approximately 361° to mark a solar day. That extra rotation takes 235.91 seconds, which is why our solar day is 24 hours on average.

Is a day 23 hours and 59 minutes?

No, a day isn’t *exactly* 24 hours. It is approximately 23 hours, 56 minutes, though that is still not exact. The length of the day depends on how you choose to define a day.

Who invented 24-hour day?

ancient Egyptians

Why is there no 100 minutes in an hour?

Why can’t it be 100 minutes per hour? 24 hours are divided into two parts – a day lasting 12 hours and a night lasting 12 hours. The Egyptians and Babylonians, were the first to divide the day into smaller parts. They used duodecimal (base 12) and sexagesimal (base 60) numeral systems.

How much is 10 hours?

Which is the same to say that 10 hours is 600 minutes.

How many seconds is 4 minutes?

Minutes to Seconds Conversion Table

Minutes Seconds
1 Minutes 60 Seconds
2 Minutes 120 Seconds
3 Minutes 180 Seconds
4 Minutes 240 Seconds

What is 8 hours in minutes with solution?

Hour to Minute Conversion Table

Hours Minutes
6 hr 360 min
7 hr 420 min
8 hr 480 min
9 hr 540 min