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1. There are twelve women and twenty men in a room. A. Find the number of ways t

ID: 3360170 • Letter: 1

Question

1. There are twelve women and twenty men in a room. A. Find the number of ways to select both a male president and male Vice President. B. Find the number of ways to select both a president and Vice President if there are no gender restrictions. 1. There are twelve women and twenty men in a room. A. Find the number of ways to select both a male president and male Vice President. B. Find the number of ways to select both a president and Vice President if there are no gender restrictions. A. Find the number of ways to select both a male president and male Vice President. B. Find the number of ways to select both a president and Vice President if there are no gender restrictions.

Explanation / Answer

A) For male President we have 20 choices and

for male VP we have 19 choices

Therefore the number of possible ways are =20*19 = 380

B) No of ways to select President = 32 ways

No of ways to slect VP = 31 ways

Total number of ways to select both a president and Vice President if there are no gender restrictions = 32*31 = 992