Short Answer Type
Long Answer TypeA class has 30 students. In how many ways can three prizes be awarded so that:
(a) no students get more than one prize?
(b) a student may get any number of prizes?
Short Answer TypeHow many 3-digit numbers can be formed from the digits 1, 2, 3, 4 and 5 assuming that repetition of the digits is allowed.
How many 3-digit numbers can be formed from the digits 1, 2, 3, 4 and 5 assuming that repetition of the digits is not allowed.
Long Answer TypeShort Answer TypeTotal flags = 5
Number of signals generated, using two flags:
= m x n = 5 x 4 = 20 ...(i)
Or
Number of signals generated, using three flags:
= m x n x p = 5 x 4 x 3 = 60 ...(ii)
Or
Number of signals generated, using 4 flags:
= m x n x p x q = 5 x 4 x 3 x 2 = 120.
Or
Number of signals generated, using all 5 flags:
= m x n x p x q x r = 5 x 4 x 3 x 2 x 1 = 120
∴ Total number of signals generated
= 20 + 60 + 120 +120 = 320.
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