Q1)-In how many different ways can the letters of the word "CHARGES" be arranged in such a way that the vowels always come together?
Q2)-In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?
Q3)-In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?
Q4)-In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?
Q5)-In how many different ways can the letters of the word "RADIUS" be arranged in such a way that the vowels occupy only the odd positions?
Q6)-There are 5 freshmen, 8 sophomores, and 7 juniors in a chess club. A group of 6 students will be chosen to compete in a competition.
How many combinations of students are possible if the group is to consist of exactly 3 freshmen?
Q7)-In how many different ways can the letters of the word 'DETAIL' be arranged in such a way that the vowels occupy only the odd positions?
Q8)-Find the number of permutations of letters of the word 'REMAINS' such that the vowels always occur in odd places.
Q9)-How many different words can be formed with letters of the word 'SUPER' such that the vowels always come together ?
Q10)-If the letters of the word PLACE are arranged taken all at a time, find how many do not start with AE.
720
1440
360
240
Ans.- B
Q2)-In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?
810
1440
2880
50400
Ans.- D
Q3)-In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?
159
194
205
209
Ans.- D
Q4)-In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?
360
480
720
504
Ans.- C
Q5)-In how many different ways can the letters of the word "RADIUS" be arranged in such a way that the vowels occupy only the odd positions?
72
144
532
36
Ans.- D
Q6)-There are 5 freshmen, 8 sophomores, and 7 juniors in a chess club. A group of 6 students will be chosen to compete in a competition.
How many combinations of students are possible if the group is to consist of exactly 3 freshmen?
5000
4550
4000
4200
Ans.- B
Q7)-In how many different ways can the letters of the word 'DETAIL' be arranged in such a way that the vowels occupy only the odd positions?
32
34
36
42
Ans.- C
Q8)-Find the number of permutations of letters of the word 'REMAINS' such that the vowels always occur in odd places.
456 ways
576 ways
326 ways
436 ways
Ans.- B
Q9)-How many different words can be formed with letters of the word 'SUPER' such that the vowels always come together ?
36 ways
24 ways
48 ways
72 ways
Ans.- C
Q10)-If the letters of the word PLACE are arranged taken all at a time, find how many do not start with AE.
142
141
114
124
Ans.- C
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