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A student taking an examination is required to answer exactly 10 out of 15 questions. (a) In how many ways can the 10 questions be selected? ways (b) In how many ways can the 10 questions be selected if exactly 4 of the first 5 questions must be answered? ways 

          A student taking an examination is required to answer exactly 10 out of 15
questions.
(a) In how many ways can the 10 questions be selected?
ways
(b) In how many ways can the 10 questions be selected if exactly 4 of
the first 5 questions must be answered?
ways
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A student taking an examination is required to answer exactly 10 out of 15 questions. (a) In how many ways can the 10 questions be selected? ways (b) In how many ways can the 10 questions be selected if exactly 4 of the first 5 questions must be answered? ways

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Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
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A student taking an examination is required to answer exactly 10 out of 15 questions. (a) In how many ways can the 10 questions be selected? ways (b) In how many ways can the 10 questions be selected if exactly 4 of the first 5 questions must be answered? ways
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Transcript

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00:01 And the following question for part a, it is 15c10.
00:05 Okay, so we can write it as, first of all i have to remember the formula for ncr, that is n factorial by r factorial, n minus r factorial, okay? so we will get 15 factorial divide by 5 10 factorial 15 minus 10 factorial.
00:25 That is equals to 15 factorial by 10 factorial multiple 5 factorial.
00:32 So which is equals to 11 multiple 3, multiple 13, multiple 7, which is 3 .003.
00:40 Go to the next one...
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