Answer : There are 6 letters in the word ‘MONDAY’, and there is no letter repeating. (i) 4 letters are used at first. 4 letters can sit in different ways. So, here permutation is to be used. So, the...
In how many ways can 4 girls and 3 boys be seated in a row so that no two boys are together?
Answer : The seating arrangement would be like this: B G B G B G B G B So, 4 girls can seat among the four places. Number of ways they can seat is = 4P4 = 24 Boys have to seat among the ‘B’ areas....
The English alphabet has 21 consonants and 5 vowels. How many words with two different consonants and three different vowels can be formed from the alphabet?
Answer : 2 consonants out of 21 consonants can be chosen in 21C2 ways. 3 vowels out of 5 vowels can be chosen in 5C3 ways. Length of the word is = (2 + 3) = 5 And also 5 letters can be written in 5!...
How many words, each of 3 vowels and 2 consonants, can be formed from the letters of the word ‘INVOLUTE’?
Answer : In the word ‘INVOLUTE’ there are 4 vowels, ‘I’,’O’,’U’ and ‘E’ and there are 4 consonants, ‘N’,’V’,’L’ and ‘T’. 3 vowels out of 4 vowels can be chosen in 4C3ways. 2 consonants out of 4...
Out of 12 consonants and 5 vowels, how many words, each containing 3 consonants and 2 vowels, can be formed?
Answer : 3 consonants out of 12 consonants can be chosen in 12C3 ways. 2 vowels out of 5 vowels can be chosen in 5C2 ways. And also 5 letters can be written in 5! Ways. Therefore, the number of...