Determine the number of combinations of 7 things taken 4 at a time.
Mark can remember only the first 4 digits of his friend's phone number. He also knows that the number has 7 digits and that the last digit is not a 0. If Mark were to dial all of the possible numbers and if it takes him 21 seconds to try each one, how long would it take to try every possibility?
17. All three‐digit numbers that can be formed using the digits 1, 2, 3, 4, and 5 without repeating the digits are (a) 50. (b) 60. (c) 15. (d) 71. 18. One of the counting rules used to determine the total number of possible
Mary is moving and wants photos to remember her six friends. If pictures are taken so there is a shot of every possible pair of friends- including Mary, how many pictures will be take? Would one roll of 24 exposures be enough? 27
An executive committee of three is selected from a group of ten. Which expression best describes the number of combinations? A. 10P3 (small 10 and 3) B. 10! C. 3P10 (small 3 and 10) D. 10P3/3! (small 10 and 3 on top, big 3! on the
26. The law of permutations, combinations, and filling slots are the counting rules used to (a) determine the total number of possible outcomes (b) determine all possible combinations of “n” objects from a total of N objects
is zero a multiple of every number? Find the prime factorization of the number, and write it in exponent form. 198 Compute the value of the given expression. _|8|_ |11-8| Evaluate the expression. -8x + 8y, for x = 8 and y = -1
If I have 4 people and I want to take a picture of them standing side by side, how many total different combinations can I use? If I have 5? if I have 10? Is there a mathematical equation that would figure out the total no matter
Suppose the growth of a population (in thousands) is represented by the expression 32 * 2.1^x where x represents the number of years since 2010. Evaluate the expression for they year 2015. Round to the nearest whole number. A. 41