GMAT Permutations and Combinations — practice questions
14 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice GMAT Permutations and Combinations in the app →The factorial of a non-negative integer $n$, denoted $n!$, is defined asThe number of PERMUTATIONS of $n$ distinct objects taken $r$ at a time is denoted $P(n,r)$ or $^nP_r$ and equaThe number of COMBINATIONS of $n$ distinct objects taken $r$ at a time, denoted $C(n,r)$ or $\binom{n}{r}$, isFind the number of arrangements of all the letters in the word 'CAT'.Find the number of distinct arrangements of all the letters in the word 'MISSISSIPPI'.How many ways can 5 people be seated around a CIRCULAR table?From a group of 8 people, how many ways can a COMMITTEE of 3 be selected?In how many ways can the letters of the word 'TRIANGLE' be arranged such that all the VOWELS are TOGETHER?How many distinct 4-digit numbers can be formed using the digits 1, 2, 3, 4, 5, 6 (each digit can be used at MThe number of ways to select 2 boys and 3 girls from a group of 5 boys and 4 girls isHow many distinct 'numbers' (with REPETITION ALLOWED) can be formed using the digits 0, 1, 2, 3 in 4 places (tFind the number of ways a person can travel from city A to city C if there are 3 routes from A to B and 2 rout$\binom{n}{r} + \binom{n}{r-1}$ equalsHow many DIAGONALS does a regular DECAGON (10-sided polygon) have?