Q1. In how many ways 8 people can arrange themselves around a square table, such that equal number of persons are sitting around each side of the table?
Ans - 10080
Q2. Anupma and Tapsi are students of class 7. Two sections of 20 students and 30 students are formed out of 50 students of that class. What is the probability that Anupma and Tapsi both enter the same section?
Ans - 25/49
Q3. Find the number of ways in which the word ”EDUCATIONAL” can be arranged such that no two vowels are together.
Ans - 43200
Q4. 4 identical green balls, 4 identical yellow balls and a white ball can be arranged in how many ways such that no two balls of same color are together.
Ans - 20
Q5. A box contains 3 black balls, 2 white balls and 4 green balls. In how many ways can 2 balls be drawn from the box, if at least 1 white ball is to be included in draw?
Ans - 15
Q6. 3 cards are drawn from a well shuffled deck of 52 cards. What is the probability of obtaining 1 diamond and 2 spades?
Ans - 39/850
Q7. Find the number of different 9 letter arrangements that can be made from the letters of the word BENGALURU so that all vowels come together.
Ans - 8640
Q8. Find the number of permutations of the letters of the word HYDERABAD.
Ans - 90720
Q9. If Two dice are rolled simultaneously, find the probability of getting an odd number when the two numbers that appear on the dice are multiplied, provided the sample contains only unique numbers.
Ans - 6/17
Q10. If `1/7!+1/8!=𝑥/9!`,find x.
Ans - 81
Q11. What is the probability of getting all kings when a hand of 5 cards is drawn from a well shuffled deck of 52 cards?
Ans - 1/54145
Q12. Find the position of the word ”vowel” in a dictionary that contains only these five letters without repetition.
Ans - 89
Q13. A fair dice is rolled twice, find the probability of getting “1” at least once
Ans - 11/36
Q14. A letter is chosen at random from the word GURUGRAM. Find the probability that the letter is a vowel.
Ans - 3/8
Q15. Out of 5 consonants and 3 vowels, how many words of 2 consonants and 1 vowel can be formed?
Ans - 180
