Unit digit of 27^1 =7 ( 7^1 =7) ,, ,, ,,, 27^2 =9 (7^2 =49) UD of 27^3 =3 (7^3 =343) UD of 27^4=1 (7^4=2401) Hence for every four consecutive powers, the unit digit will follow a pattern of 7,9,3,1. Hence UD of 27^20 will be 1
x/6=4 28/6=4 x=28 when 28 is divided by 4 it leaves remainder 4 similarly y/6=5 35/6=5 y=35 (28+35)/6=63/6=> Remainder-3
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Total words=5! vowels=2 vowels come together= 4!2! no vowel together= 5!-4!2! => 72
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6,900 ( 2,300 * 3)
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Probability of not happening the event in one trial = 0.7
Event not happening in any of the three trial = (0.7)3
Event happening atleast once = 1 – (0.7)3 = 0.657