hooks be CALIFORNIA 2NEH341 ane possible (he birt nd the nesuking segaunce of A
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hooks be CALIFORNIA 2NEH341 ane possible (he birt nd the nesuking segaunce of A contination lock has 60 different positions. To open the lock, the dial is irectii ia findly to chackwise direction I accessive are possible new a o a nambet a thied sumber in the her same, how many different combinations many diflere posible (The singslar fom of the wond dice in die) 5. A and die, a blue de, and a whine die are rolled, and the sunhn showing ae recondod. How many difficrent our comes are ponsible? 16. Two canls ane chosen in ceder from a deck In how many ways can this be done if (a) the finst card must be a spade and the second must be a 23. A true-false est contains ten questions. In how many dif- al both cands must be spadkes fevent ways can this test be completed? 17. A pirl has 5 skits, 8ouses, and 12 pairs of shoes Hou many differens skirt-House-shoe outfits can she wear? (Assume that each item matches all the others, so she is 24. An automobile dealer offers five models. Each model comes in a choice of four colors, three types of stereo equipment, with or without air coeditioning, and with or without a sunrool. In how many different ways can a customer order an auto from this dealer? willisg to wear any combination) 18. A company's employee ID number system consists of one loter followed by three digits. How many different ID 25. The registrar at a certain university classifies stadents nambers are possible with this sysem according to a major, minor, year (1, 2, 3, 4), and sex 19 A company has 2844 employoes. Each employee is to be given an ID nimber that consists of one letter followed by (M. F). Each student must cboose one major and either one or so minor from the 32 fields taughi at this university How many different student classifications are possible?Explanation / Answer
Q.8 The Number of ways the 5 person can occupied the 5 seats is
5! =120 ways
since for first seat there are 5 possibility
for second seat there are remaining four possibility
like wise we can accomodate last person to last seat.
hence by using principle of multiplication we get 5*4*3*2*1 =120 ways.
Q10. Simmilary we can arranged the five different books of mathematics by 120 ways.
Q12. In family of six children the number of different boys-girl birth order combination is = 2^6 = 64 ways
Since there are six children each may be either boy or girl. number of distinct combination will be 2^6.
Q13. When two dice one with red color and other with white color are thrown the number of different outcomes are : 36
that is (1,1),(1,2)...,(6,6)
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