4.
Evaluate : n!
r!(n-r), for
(i) n=8, r=6
(iii) n= 15, r = 10
(ii) n=12, r= 12,
(iv) n = 15, r = 8
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Answer:
n!/r!(n-r)!
(i)for n=8,r=6
= 8!/6! 2!
=8.7/2
=28
(ii)n=15,r=10
=15!/10! 5!
=15.14.13.12.11/5.4.3.2.1
=3003
(iii)n=12,r=12
=12!/12!
=1
(iv)n=15,r=8
=15!/8! 7!
=15.14.13.12.11.10.9/7.6.5.4.3.2.1
=6435
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