The definition of a member is a part of a group, system, or whole. An example of a member is the drummer in a band. An example of a member is the toe on a foot.
(a)13, 800
(6)32, 768
(c)630, 630
SOLUTION-
(a) Ways to choose a president, vice president and treasurer= NPR = 25! (25 – 3)! = 25! (22)! = 25×24×23 = 13,800
(b) The 7-digit string contains exactly 2 or eight's.
Hence giving other digits' positions, any digit other than 8 can exist. Hence 8 possibilities exist for 5 positions.
= 8^5 =32,768
(c) FORMULA -
= \frac{(total geraniums)!}{(red)!(white)!(pink)!}
= \frac{(15!)}{(4!)(6!)(5!)}
= 630, 630
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