1.
In how many different number of ways 4 boys and 2 girls can sit on a bench?
Answer: Option ''
Answer: Option 'C'
npn = n!
6p6
= 6 × 5 × 4 × 3 × 2 × 1 = 720
2.
In how many different number of ways 5 men and 2 women can sit on a shopa which can accommodate persons?
Answer: Option 'D'
Answer: Option 'D'
7p3 = 7 × 6 × 5 = 210
3.
In how many different number of ways 4 boys and 3 girls can sit on a bench such that girls always sit together.
Answer: Option 'A'
Answer: Option 'A'
4.
In how many different ways can the letters of the word "CLAIM" be rearrangement?
Answer: Option 'A'
Answer: Option 'A'
The total number of arrangements is
5P5 = 5! = 120
5.
If the letters of the word PLACE are arranged taken all at a time, find how many do not start with AE.
Answer: Option 'C'
Answer: Option 'C'
Total no'of arrangements 5P5 = 5! = 120
no'of arrangements start with AE = 1 × 6 = 6
no'of arrangements which do not start with AE = 120 - 6 = 114.
6.
How many arrangements of the letters of the word BEGIN can be made, without changing the place of the vowels in the word?
Answer: Option ''
Answer: Option 'B'
E,I fixed. Consonants can be arrangements in 3P3 = 3! = 6 ways
7.
If all the numbers 2, 3, 4, 5, 6, 7, 8 are arranged, find the number of arrangements in which 2, 3, 4, are together?
Answer: Option 'A'
Answer: Option 'A'
If (2 3 4) is one.
we must arrange (2 3 4), 5, 6, 7, 8 in
5P5 = 5! = 120 ways
2, 3, 4 can be arranged in 3P3 = 3! = 6
120 × 6 = 720.
8.
Find 10P6
Answer: Option ''
Answer: Option 'B'
10P6 = 10!/4! = 10 × 9 × 8 × 7 × 6 × 5
= 151200.
9.
Find 9P3
Answer: Option 'B'
9P3 = 9!/6! = 9 × 8 × 7
= 504.
10.
Find 7P7
Answer: Option 'B'
7P7 = 7! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040