Question 3 Compute 8! / (6! x 2!)
Class X1 - Maths -Permutations and Combinations Page 141
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8!/6!/2!=8×7×6!/6!×3=28
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3
we know,
n! = n × (n-1) × (n-2) × (n-3) × .....2 × 1 use this concept here,
8!/ (6! × 2!)
= 8 × (8-1) × (8-2)!/(6! × 2!)
= 8 × 7 × 6!/(6! × 2!)
= 8 × 7/2!
= 8 × 7/2
= 4 × 7
= 28
hence, 28 is the answer
n! = n × (n-1) × (n-2) × (n-3) × .....2 × 1 use this concept here,
8!/ (6! × 2!)
= 8 × (8-1) × (8-2)!/(6! × 2!)
= 8 × 7 × 6!/(6! × 2!)
= 8 × 7/2!
= 8 × 7/2
= 4 × 7
= 28
hence, 28 is the answer
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