1. In how many different ways can the letters of the word ‘POTENCY’ be arranged in such a way that the vowels always come together?
(1) 1360
(2) 3720
(3) 2480
(4) 1440
(1) 1
(2) 2
(3) 3
(4) 4
EXPLANATION
2. A bowl contains 8 violet, 6 purple and 4 magenta balls. Three balls are drawn at random. Find out the number of ways of selecting the balls of different colour?
(1) 192
(2) 122
(3) 248
(4) 362
(1) 1
(2) 2
(3) 3
(4) 4
EXPLANATION
1 violet ball can be selected is 8C1 ways.
1 purple ball can be selected in 6C1 ways.
1 magenta ball can be selected in 4C1 ways.
Total number of ways = 8C1 × 6C1 × 4C1
= 8×6×4
= 192
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