alleryFrom an apple, an orange and a pear, how many 2-fruit selections exist if repeats are allowed?
- 6
- 3
- 9
- 8
Show answer and solution
Correct answer: A. 6
There are 3 selections of two different fruits plus 3 with a repeated fruit, so 6.
GMAT Permutations and Combinations — practice questions — page 2
Explore 56 free Permutations and Combinations questions in GMAT Quantitative Aptitude. Open each question or exercise to read its content, reference answers and available explanation.
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Showing questions 31–56 of 56.
From an apple, an orange and a pear, how many 2-fruit selections exist if repeats are allowed?Read the answer and worked solution →What is the sum 6C0 + 6C1 + 6C2 + 6C3 + 6C4 + 6C5 + 6C6?Read the answer and worked solution →How many non-empty subsets does a 4-element set have?Read the answer and worked solution →If nC2 = 45, what is n?Read the answer and worked solution →If nC8 = nC12, what is the value of n?Read the answer and worked solution →If (n + 1)! = 20 x (n - 1)!, find n.Read the answer and worked solution →A club of 8 members elects a president and a secretary. In how many ways?Read the answer and worked solution →A team of 3 (no roles) is picked from 9 players. How many different teams?Read the answer and worked solution →How many signals can be made by hoisting 3 of 6 different flags on a pole in order?Read the answer and worked solution →How many triangles can be drawn using 8 points, no three on a line?Read the answer and worked solution →How many different 4-bit binary strings exist?Read the answer and worked solution →A 3-digit PIN uses digits 0 to 9 with repeats allowed. How many PINs are possible?Read the answer and worked solution →A pizza needs 3 toppings chosen from 5 available. How many choices exist?Read the answer and worked solution →The expression 6!/(4! x 2!) is equal toRead the answer and worked solution →Ten runners race for gold, silver and bronze medals. How many medal outcomes exist?Read the answer and worked solution →Pascal's rule states that nCr + nC(r - 1) equalsRead the answer and worked solution →The value of 6C3 isRead the answer and worked solution →Choose 2 vowels from 4 and 2 consonants from 5. How many selections?Read the answer and worked solution →Pick 3 of 6 red balls and 2 of 5 blue balls. How many different selections?Read the answer and worked solution →In how many ways can at least one item be selected from 5 distinct items?Read the answer and worked solution →Letters of DELHI are arranged with the two vowels together. How many arrangements?Read the answer and worked solution →How many 5-digit numbers using digits 1 to 5 once each are divisible by 4?Read the answer and worked solution →A team of 4 is chosen from 10 players and one named player must be included. How many ways?Read the answer and worked solution →Six distinct people are split into two unlabelled groups of 3. How many ways?Read the answer and worked solution →In how many ways can 6 identical sweets go to 2 children, a child may get none?Read the answer and worked solution →How many permutations of 1, 2, 3 leave no number in its own position?Read the answer and worked solution →
Worked practice questions
What is the sum 6C0 + 6C1 + 6C2 + 6C3 + 6C4 + 6C5 + 6C6?
- 36
- 128
- 64
- 32
Show answer and solution
Correct answer: C. 64
The sum of all k-combinations of n items is 2^n, so 2^6 = 64.
How many non-empty subsets does a 4-element set have?
- 14
- 15
- 8
- 16
Show answer and solution
Correct answer: B. 15
All subsets number 2^4 = 16; removing the empty set leaves 15.
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