Selve the preble 14) How many 3-dican be formed wsing the dipits 0, 1,2,3,.4,5,6

Question

Selve the preble 14) How many 3-dican be formed wsing the dipits 0, 1,2,3,.4,5,6, if repetition of digits is ) not nlowed A) 5 8)343 D 210 Find the valsols) of the fuaction on the given feasible region. 15) Find the minim of -23s 22y+15 A) 1S B) 60 C)38 DI 37 Find the number of subsets of the set. 16) [1,23, ,01 A) 128 8) 64 C 16 Find the probability of the given event. 17) A card deaven from a well-shuftled deck of 52 cands is a face card or a 6 A) B) 36 13 Rewrite the system of inequalities, adding slack variables or subtracting surplus variables as needed 18)x1+233 432 x1 32 3 25 8)x1 x2 3+x4-52 123+s-25 x1.2 x6-12 1+324 33-x5-2 11x2 x3-35-25

Explanation / Answer

14.
First digit can be selected in 7C1 ways
and second digit can be selected in 6C1 and third digit can be selected in 5C1 ways
3 digit numbers possible are 7*6*5 = 210

15.
for (1,0), z = 38
for (0,1), z = 37

min Z = 37

16.
Number of subsets = 2^6 = 64

17.
P(face card) = 12/52
P(6) = 4/52

Required prob = 16/52 = 4/13

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