{"id":228867,"date":"2025-06-07T17:23:23","date_gmt":"2025-06-07T17:23:23","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=228867"},"modified":"2025-06-07T17:23:25","modified_gmt":"2025-06-07T17:23:25","slug":"evaluate-the-expression-4-3-12-30-144-5040","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/07\/evaluate-the-expression-4-3-12-30-144-5040\/","title":{"rendered":"Evaluate the expression 4! \u2022 3! 12 30 144 5,040"},"content":{"rendered":"\n

Evaluate the expression 4! \u2022 3! 12 30 144 5,040<\/p>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

\u2705 Correct Answer: 5,040<\/strong><\/h3>\n\n\n\n
\n\n\n\n

Step-by-step Evaluation:<\/h3>\n\n\n\n

We are asked to evaluate this expression:
4! \u2022 3! 12 30 144 5,040<\/strong><\/p>\n\n\n\n

To properly evaluate it, we first need to clarify what part of this is the actual expression<\/strong> and what are just numbers listed afterward<\/strong> (possibly as distractors or reference points).<\/p>\n\n\n\n

The actual mathematical expression<\/strong> is likely just:<\/p>\n\n\n\n

\n

4! \u2022 3!<\/strong><\/p>\n<\/blockquote>\n\n\n\n

Let\u2019s break this down:<\/p>\n\n\n\n

\n\n\n\n

Factorial Review:<\/h3>\n\n\n\n
    \n
  • n!<\/strong> (read as “n factorial”) is the product of all positive integers from 1 to n. So,\n
      \n
    • 4! = 4 \u00d7 3 \u00d7 2 \u00d7 1 = 24<\/strong><\/li>\n\n\n\n
    • 3! = 3 \u00d7 2 \u00d7 1 = 6<\/strong><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n

      Now multiply the two:<\/p>\n\n\n\n

        \n
      • 4! \u2022 3! = 24 \u00d7 6 = 144<\/strong><\/li>\n<\/ul>\n\n\n\n
        \n\n\n\n

        So, the result of 4! \u2022 3!<\/strong> is 144<\/strong>.<\/p>\n\n\n\n

        Now what about the rest?
        You wrote:
        4! \u2022 3! 12 30 144 5,040<\/strong><\/p>\n\n\n\n

        This looks like a list of possible answer choices<\/strong> \u2014 common in multiple-choice questions.<\/p>\n\n\n\n

        So among:<\/p>\n\n\n\n

          \n
        • 12<\/li>\n\n\n\n
        • 30<\/li>\n\n\n\n
        • 144<\/li>\n\n\n\n
        • 5,040<\/li>\n<\/ul>\n\n\n\n

          The correct value from evaluating 4! \u2022 3!<\/strong> is 144<\/strong> \u2705<\/p>\n\n\n\n

          \n\n\n\n

          Why You Might See 5,040:<\/h3>\n\n\n\n
            \n
          • 7! = 5,040<\/strong>, which might be listed to confuse you, especially if someone mistakenly adds 4 + 3 = 7 and computes 7!<\/strong>.<\/li>\n<\/ul>\n\n\n\n

            But that\u2019s incorrect because 4! \u2022 3! \u2260 7!<\/strong><\/p>\n\n\n\n

            \n\n\n\n

            Final Answer: 144<\/strong><\/h3>\n\n\n\n
            \n\n\n\n

            Explanation:<\/h3>\n\n\n\n

            To evaluate the expression 4! \u2022 3!<\/strong>, we must understand what factorials mean. The factorial of a number n<\/strong>, written as n!<\/strong>, is the product of all positive integers from 1 to n<\/strong>. For example, 4!<\/strong> means 4 \u00d7 3 \u00d7 2 \u00d7 1, which equals 24. Similarly, 3!<\/strong> is 3 \u00d7 2 \u00d7 1 = 6.<\/p>\n\n\n\n

            The expression is 4! \u2022 3!<\/strong>, which means we multiply the two results:<\/p>\n\n\n\n

            \n

            4! \u2022 3! = 24 \u00d7 6 = 144.<\/p>\n<\/blockquote>\n\n\n\n

            After evaluating, we notice a series of numbers: 12, 30, 144, 5,040<\/strong>. These are likely multiple-choice options designed to distract or test your understanding of factorials. For instance, 5,040 is 7!<\/strong>, which a student might incorrectly choose if they added 4 + 3 and took the factorial of that sum. However, this is not the correct interpretation.<\/p>\n\n\n\n

            Sometimes, students confuse n! + m!<\/strong> or (n + m)!<\/strong> with n! \u2022 m!<\/strong>, but each expression has a different meaning. n! \u2022 m!<\/strong> is the product of the factorials of two separate numbers, not the factorial of their sum.<\/p>\n\n\n\n

            The key to solving factorial problems is to evaluate each factorial independently, then follow the standard order of operations. In this case, multiply the two results after calculating them.<\/p>\n\n\n\n

            Thus, the correct evaluation of 4! \u2022 3!<\/strong> is 144<\/strong>, making 144<\/strong> the correct answer.<\/p>\n\n\n\n

            \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

            Evaluate the expression 4! \u2022 3! 12 30 144 5,040 The Correct Answer and Explanation is: \u2705 Correct Answer: 5,040 Step-by-step Evaluation: We are asked to evaluate this expression:4! \u2022 3! 12 30 144 5,040 To properly evaluate it, we first need to clarify what part of this is the actual expression and what are […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-228867","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/228867","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=228867"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/228867\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=228867"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=228867"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=228867"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}