GMAT Math Questions - Permutation & Combination, Probability

Question 1: In how many ways can the letters of the word ABACUS be rearranged such that the vowels always appear together? Answer & Explanation »

Question 2: How many different four letter words can be formed (the words need not be meaningful) using the letters of the word MEDITERRANEAN such that the first letter is E and the last letter is R? Answer & Explanation »

Question 3:What is the probability that the position in which the consonants appear remain unchanged when the letters of the word "Math" are re-arranged? Answer & Explanation »

Question 4: There are 6 boxes numbered 1, 2, ... 6. Each box is to be filled up either with a red or a green ball in such a way that at least 1 box contains a green ball and the boxes containing green balls are consecutively numbered. The total number of ways in which this can be done is: Answer & Explanation »

Question 5: A man can hit a target once in 4 shots. If he fires 4 shots in succession, what is the probability that he will hit his target? Answer & Explanation »

Question 6: In how many ways can 5 letters be posted in 3 post boxes, if any number of letters can be posted in all of the three post boxes? Answer & Explanation »

Question 7: Ten coins are tossed simultaneously. In how many of the outcomes will the third coin turn up a head? Answer & Explanation »

Question 8: In how many ways can the letters of the word "PROBLEM" be rearranged to make seven letter words such that none of the letters repeat? Answer & Explanation »

This ebook with over 110 questions in about 100 pages covers all major concepts in Permutation combination (combinatorics) and Probability. Includes typical GMAT like problems such as "tossing of coins", "rolling of dice" and "selecting cards from a pack of cards"

These concepts are explained with 80 solved examples and illustrative examples. In addition, the eBook also includes 40+ exercise problems for you to practice.

This eBook is a practice test comprising 95 questions on Permutation, Combination and Probability. These questions are objective type multiple choice questions. Each question is provided with correct answers and detailed explanations at the end of the test.

Wherever applicable, shortcuts and alternate methods to solve the questions are provided .

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