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# In an examination, a minimum of marks is to be scored in

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Manager
Joined: 24 Jan 2005
Posts: 217
Location: Boston
Followers: 1

Kudos [?]: 5 [0], given: 0

In an examination, a minimum of marks is to be scored in [#permalink]  19 Mar 2005, 08:20
In an examination, a minimum of marks is to be scored in each 6 subjects to pass. How many ways can a student fail.

(a) 6
(b) 21
(c) 63
(d) 84
(e) 72
Senior Manager
Joined: 15 Mar 2005
Posts: 421
Location: Phoenix
Followers: 2

Kudos [?]: 12 [0], given: 0

Re: PC Perm and Comb [#permalink]  19 Mar 2005, 10:26
anirban16 wrote:
In an examination, a minimum of marks is to be scored in each 6 subjects to pass. How many ways can a student fail.

(a) 6
(b) 21
(c) 63
(d) 84
(e) 72

(C) 63,

Two possible outcomes for each test => total of 2^6 outcomes.
One is a pass outcome, the remaining are the failure cases.
Thus failure ways = 64 - 1 = 63.

Hope that helps.
_________________

Who says elephants can't dance?

VP
Joined: 18 Nov 2004
Posts: 1442
Followers: 2

Kudos [?]: 20 [0], given: 0

"C"

All possibilities - when he passes all.

2^6 -1 = 63
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