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From five consonants and four vowels, how many words consist of three consonants and two vowels ?

Answer»

SOLUTION :Words of consisting of 3 consonants and 2 vowels are to be formed from FIVE consonants and 4 vowels.
`:. "The number of ways" =""^5C_3xx""^4C_2`
` Again , 5 LETTERS can be arranged among themselves in 5! Ways.
`:. "The TOTAL number of ways "= ""^5C_3xx ""^4C_2xx5! =10xx6xx120 = 7200.`


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