Question

<14> Club has 11 men and 21 women from which a sub-comittee shall be selected... (a) How many ways can 12 women be selected from the 21 to serve on the committee ? (b) How many ways can 7 men be selected from the 11 to serve on the committee ? (c) How many sub-committes of 19 can be made from the 32 members? (d) Fianlly, based on parts A-C, what is the probability that 12 women and 7 men shall be selected to serve on the committee?

          <14>
Club has 11 men and 21 women
from which a sub-comittee shall be selected...
(a) How many ways can 12 women be selected from the 21 to serve on the committee ?
(b) How many ways can 7 men be selected from the 11 to serve on the committee ?
(c) How many sub-committes of 19 can be made from the 32 members?
(d) Fianlly, based on parts A-C, what is the probability that 12 women and 7 men shall be
selected to serve on the committee?

<14>
Club has 11 men and 21 women
from which a sub-comittee shall be selected...
(a) How many ways can 12 women be selected from the 21 to serve on the committee ?
(b) How many ways can 7 men be selected from the 11 to serve on the committee ?
(c) How many sub-committes of 19 can be made from the 32 members?
(d) Fianlly, based on parts A-C, what is the probability that 12 women and 7 men shall be
selected to serve on the committee?

Added by James H.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Aman Gupta

08/16/2022

Step 1

Step 1: To find the number of ways to select 12 women from 21, we use the combination formula: nCr = n! / (r!(n-r)!) So, the number of ways to select 12 women from 21 is 21C12 = 21! / (12!(21-12)!) = 21! / (12!9!) Show more…

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(:14:) Club has 11 men and 21 women from which a sub-committee shall be selected. (a) How many ways can 12 women be selected from the 21 to serve on the committee? (b) How many ways can 7 men be selected from the 11 to serve on the committee? (c) How many sub-committees of 19 can be made from the 32 members? (d) Finally, based on parts A-C, what is the probability that 12 women and 7 men shall be selected to serve on the committee?