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Quantitative Aptitude
Algebra
Permutations Combinations
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What are the permutation and combination values when selecting 3 items out of 'abcd'?
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12, 2
36, 6
48, 8
24, 4
Solution:
Step 1: The permutation formula is P(n, k) = n! / (n - k)! Step 2: Here, n = 4 (total items) and k = 3 (items taken at a time) Step 3: P(4, 3) = 4! / (4 - 3)! = 4! / 1! = 24 Step 4: The combination formula is C(n, r) = n! / ((n - r)! * r!) Step 5: C(4, 3) = 4! / ((4 - 3)! * 3!) = 4 Step 6: Therefore, the permutation and combination values are 24 and 4 respectively.
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