Pascal's Triangle

Q. Dropdi has 5 friends. In how many ways can she invite one or more of them to a dinner?

1. 31
   
2. $5^5$
   
3. 13
   
4. $2^5$

Q. A shopkeeper has 10 copies of each of nine different books, then number of ways in which atleast one book can be selected is

1. $9^{11}-1$
2. ${10}^{10}-1$
3. ${11}^9-1$
4. ${10}^9$

Q. What is the total number of ways of selecting at least one ring from 2 sets of 10 identical rings?

1. 100
2. 120
3. 119
4. 121

Q. What is the total number of ways of selecting at least one ring from 2 sets of 10 different rings?

1. $2^{10}\times 2^{10}\times 2$
2. $2^{10}+2^{10}$
3. $2^{20}+1$
4. $2^{20}-1$

Q. The total numer of all proper factors of 75600 is

1. 120
2. 119
3. 118
4. None of these

Q. A person X has four notes of rupee 1, 2, 5 and 10 denomination. The number of different sums of money she can form from them is

1. 16
2. 12
3. 8
4. 15

Q. What is the total number of ways of selecting at least one ring from 2 sets of 10 identical rings picking at least one from each set?

1. $2^{20}-2$
2. $2^{20}-1$
3. $2^{20}$
4. $(2^{10}-1{)}^2$

Q. The sum of the divisors of $2^3.3^4{.5}^2$ is:

1. 56789
2. 1234
3. 15625
4. 56265

Q. A bag contains 4 mangoes and 5 oranges. In how many ways can I make a selection so as to take atleast one mango and one orange?

1. 465
2. 365
3. 8
4. 19

Q. A question paper has two parts-Part A and Part B. Part A contains 5 questions and part B has 4. Each question in part A has an alternative. A student has to attempt atleast one question from each part. Find the number of ways in which the student can attempt the question paper.

1. 1258
   
2. 3360
   
3. 3850
   
4. 3630