How many 7-digit telephone numbers are possible if the first digit cannot be four and (a) only odd digits may be used? (b) the telephone number must be a multiple of 10 (that is, it must end in 0)? (c) the telephone number must be a multiple of 1,000? (d) the first 3 digits are 921? (e) no repetitions are allowed?

Q: what property of arithmetic tells us that if 5*-3=-15, then -3*5=-15?

A: We need to identify the property according to which we can write as  5×-3 =-15 then, -3×5 =-15

Q: In Connecticut, auto license plates carry 3 digits followed by 3 letters. (Assume the first digit…

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Q: Question Details How many three-letter "words" can ve maue from 8 letters "FGHIJKLM" if repetition…

A: Given8 letters is "FGHIJKLM"Total no.of letters=8No.of letters to be made=3

Q: How many three-letter "words" can be made from 5 letters "FGHIJ" if repetition of letters (a) is…

A: Given5 letters is "FGHIJ"No.of letters = 5

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Q: How many terms are in the sum: 10 + 21 + 32 + 43 + .. + 549? Note: a = 10.

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Q: How many six-lettered words starting with the letter T can be made from all the letters of the word…

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Q: If n(A ∪ B) =113, n(B) =62, and n(A ∩ B) =44, what is n(A)? (Enter answer as a whole number)

A: Given,1136244We have to find Using formula,

Q: calculates

A: