116. In how many different ways can the letters of the word 'CORPORATI

1.	116. In how many different ways can the letters of the word 'CORPORATION' be [arranged so that the vowels always come together?a) 50400 b) 50402c) 50500d) noneCar
Answer» Vowels in the word "CORPORATION" are O,O,A,I,OLets make it as CRPRTN(OOAIO) This has 7 lettes, where R is twice so value = 7!/2!= 2520 Vowel O is 3 times, so vowels can be arranged = 5!/3! = 20 Total number of words = 2520 * 20 = 50400 (a) is correct option

116. In how many different ways can the letters of the word 'CORPORATION' be [arranged so that the vowels always come together?a) 50400 b) 50402c) 50500d) noneCar

Answer»

Vowels in the word "CORPORATION" are O,O,A,I,OLets make it as CRPRTN(OOAIO)

This has 7 lettes, where R is twice so value = 7!/2!= 2520

Vowel O is 3 times, so vowels can be arranged = 5!/3! = 20

Total number of words = 2520 * 20 = 50400

(a) is correct option