On The Occasion Of Deepawali Festival Each Student Of A Class Sends Greeting Cards To The Others
1) 20C2 2) 2.20C2 3) 2.20P2 4) None of these Answer: (2) 2.20C2 Solution: There are 20 students in the... View Article
1) 20C2 2) 2.20C2 3) 2.20P2 4) None of these Answer: (2) 2.20C2 Solution: There are 20 students in the... View Article
1) 11 2) 12 3) 27 4) 63 Answer: (4) 63 Solution: Three MCQs have four choices or options Therefore,... View Article
1) 7 2) 8 3) 9 4) 10 Answer: (2) 8 Solution: 10Cx-1>2.10Cx \(\begin{array}{l}\frac{10!}{(x-1)!(10-x+1)!} > 2 \times \frac{10!}{x!(10-x)!}\end{array} \) On... View Article
1) 11 2) 12 3) 13 4) 14 Answer: (2) 12 Solution: Total handshakes = 66 Let there are n... View Article
1) 16C3 2) 30C16 3) 15C10 4) 15C15 Answer: 16C3 Solution: 15C3 + 15C13 We can write, 15C13 as 15C2... View Article
1) 1 2) 2 3) 0 4) None of these Answer: (3) 0 Solution: 15C8 + 15C9 – 15C6 –... View Article
1) Less than 500 2) At least 500 but less than 750 3) At least 750 but less than 1000... View Article
1) n+1Cr 2) nCr+1 3) n+1Cr+1 4) n-1Cr-1 Answer: n+1Cr Solution: nCr + nCr-1 = \(\begin{array}{l}\begin{array}{l} =\frac{n !}{(n-r) ! r... View Article
1) 72 2) 153 3) 306 4) 2556 Answer: (2) 153 Solution: nC12 = nC6 nCn-12 = nC6 n-12 =... View Article
1) 5040 2) 6210 3) 385 4) 1110 Answer: (3) 385 Solution: Given, there are total 10 candidates We need... View Article
1) 19 2) 20 3) 18 4) 24 Answer: (2) 20 Solution: 18C15+2(18C16) + 17C16+1 = nC3 18C15+18C16 +18C16+ 17C16+1... View Article
1) 7 2) 10 3) 9 4) 5 Answer: (2) 10 Solution: 2 nC5 = 9 x n-2C5 \(\begin{array}{l}\begin{array}{l} 2... View Article
1) r = 3 2) r = 4 3) r = 6 4) r = 5 Answer: (2) r=4 Solution:... View Article
1) 3 2) 4 3) 5 4) 8 Answer: (1) 3 Solution: Given, 15C3r = 15Cr+3 3r+r+3 = 15 4r... View Article
1) 15 × 10 2) 15 + 10 3) 25P2 4) 25C2 Answer: (1) 15 x 10 Solution: Given, there... View Article
1) 36 2) 108 3) 99 4) 165 Answer: (4) 165 Solution: Given, there are 12 volleyball players and we... View Article
1) 128 2) 256 3) 127 4) 130 Answer: (3) 127 Solution: Given, a man has 7 friends Now there... View Article
1) n/2 2) (n+1)/2 3) (n-1)/2 4) None of these Answer: (1) n/2 Solution: As we know, the binomial coefficient... View Article
1) 3 2) 36 3) 66 4) 108 Answer: (4) 108 Solution: Given, Urn A has 3 red balls Urn... View Article
1) 48 2) 49 3) 50 4) 51 5) 52 Answer: (2) 49 Solution: Given, (n+2)! = 2550×n! (n+2)(n+1)×(n!) =... View Article