Question 11 of 42intermediate🔧 ApplyNumerical3 marks

Evaluate n!/(n-r)!, when (i) n = 6, r = 2 (ii) n = 9, r = 5.

(i)
Answer

30

(ii)
Answer

15120

Explanation

This question tests the understanding of factorial notation and the formula n!/(n-r)!. From the context, we know that n! = 1×21 \times 2 × 3 × ... × n and nP_r = n!/(n-r)!. To evaluate such expressions, we expand the numerator factorial and cancel common terms with the denominator. This technique is demonstrated in Example 6 of the textbook where 7!/5! = 7×67 \times 6 = 42.